77054976 has 110 divisors (see below), whose sum is σ = 230348910. Its totient is φ = 25657344.

The previous prime is 77054963. The next prime is 77054981. The reversal of 77054976 is 67945077.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 33177600 = 6624^2 + 5760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82480 + ... + 83408.

It is an arithmetic number, because the mean of its divisors is an integer number (2094081).

Almost surely, 2^77054976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115174455).

77054976 is an abundant number, since it is smaller than the sum of its proper divisors (153293934).

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

77054976 is an equidigital number, since it uses as much as digits as its factorization.

77054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 77054976 is about 8778.0963767778. The cubic root of 77054976 is about 425.5333115778.

The spelling of 77054976 in words is "seventy-seven million, fifty-four thousand, nine hundred seventy-six".