1977288768 has 504 divisors, whose sum is σ = 7541358552. Its totient is φ = 489259008.

The previous prime is 1977288767. The next prime is 1977288773. The reversal of 1977288768 is 8678827791.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 1967099904 = 3192^2 + 44352^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977288767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6237346 + ... + 6237662.

It is an arithmetic number, because the mean of its divisors is an integer number (14963013).

Almost surely, 2^1977288768 is an apocalyptic number.

1977288768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770679276).

1977288768 is an abundant number, since it is smaller than the sum of its proper divisors (5564069784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1977288768 is a wasteful number, since it uses less digits than its factorization.

1977288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 63.

The square root of 1977288768 is about 44466.7152823322. The cubic root of 1977288768 is about 1255.1338233936.

The spelling of 1977288768 in words is "one billion, nine hundred seventy-seven million, two hundred eighty-eight thousand, seven hundred sixty-eight".