77722120 has 32 divisors (see below), whose sum is σ = 199857600. Its totient is φ = 26647488.

The previous prime is 77722111. The next prime is 77722121. The reversal of 77722120 is 2122777.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (77722121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138510 + ... + 139069.

It is an arithmetic number, because the mean of its divisors is an integer number (6245550).

Almost surely, 2^77722120 is an apocalyptic number.

77722120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77722120 is an abundant number, since it is smaller than the sum of its proper divisors (122135480).

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

77722120 is a wasteful number, since it uses less digits than its factorization.

77722120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277597 (or 277593 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 77722120 is about 8816.0149727641. The cubic root of 77722120 is about 426.7578770930.

Adding to 77722120 its reverse (2122777), we get a palindrome (79844897).

The spelling of 77722120 in words is "seventy-seven million, seven hundred twenty-two thousand, one hundred twenty".