77900256 has 144 divisors (see below), whose sum is σ = 268186464. Its totient is φ = 20938752.

The previous prime is 77900243. The next prime is 77900257. The reversal of 77900256 is 65200977.

It is a tau number, because it is divible by the number of its divisors (144).

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 77900256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77900257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33136 + ... + 35408.

It is an arithmetic number, because the mean of its divisors is an integer number (1862406).

Almost surely, 2^77900256 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 77900256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134093232).

77900256 is an abundant number, since it is smaller than the sum of its proper divisors (190286208).

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

77900256 is a wasteful number, since it uses less digits than its factorization.

77900256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 77900256 is about 8826.1121678800. The cubic root of 77900256 is about 427.0836656675.

The spelling of 77900256 in words is "seventy-seven million, nine hundred thousand, two hundred fifty-six".