1077917080 has 64 divisors (see below), whose sum is σ = 2562969600. Its totient is φ = 407172480.

The previous prime is 1077917069. The next prime is 1077917081. The reversal of 1077917080 is 807197701.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077917081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65265 + ... + 80095.

It is an arithmetic number, because the mean of its divisors is an integer number (40046400).

Almost surely, 2^1077917080 is an apocalyptic number.

1077917080 is a gapful number since it is divisible by the number (10) 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 1077917080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281484800).

1077917080 is an abundant number, since it is smaller than the sum of its proper divisors (1485052520).

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

1077917080 is a wasteful number, since it uses less digits than its factorization.

1077917080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14944 (or 14940 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 40.

The square root of 1077917080 is about 32831.6475370944. The cubic root of 1077917080 is about 1025.3255614659.

The spelling of 1077917080 in words is "one billion, seventy-seven million, nine hundred seventeen thousand, eighty".