77965056 has 216 divisors, whose sum is σ = 256685520. Its totient is φ = 22560768.

The previous prime is 77965051. The next prime is 77965081. The reversal of 77965056 is 65056977.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77965051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569020 + ... + 569156.

Almost surely, 2^77965056 is an apocalyptic number.

77965056 is a gapful number since it is divisible by the number (76) 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 77965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128342760).

77965056 is an abundant number, since it is smaller than the sum of its proper divisors (178720464).

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

77965056 is a wasteful number, since it uses less digits than its factorization.

77965056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 77965056 is about 8829.7823302729. The cubic root of 77965056 is about 427.2020536029.

The spelling of 77965056 in words is "seventy-seven million, nine hundred sixty-five thousand, fifty-six".