77306256 has 30 divisors (see below), whose sum is σ = 216350550. Its totient is φ = 25768704.

The previous prime is 77306249. The next prime is 77306263. The reversal of 77306256 is 65260377.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77306249) and next prime (77306263).

It can be written as a sum of positive squares in only one way, i.e., 69555600 + 7750656 = 8340^2 + 2784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77306256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 268281 + ... + 268568.

It is an arithmetic number, because the mean of its divisors is an integer number (7211685).

Almost surely, 2^77306256 is an apocalyptic number.

It is an amenable number.

77306256 is an abundant number, since it is smaller than the sum of its proper divisors (139044294).

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

77306256 is a wasteful number, since it uses less digits than its factorization.

77306256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536863 (or 536854 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 77306256 is about 8792.3976252215. The cubic root of 77306256 is about 425.9953712385.

The spelling of 77306256 in words is "seventy-seven million, three hundred six thousand, two hundred fifty-six".