76640256 has 312 divisors, whose sum is σ = 286226304. Its totient is φ = 19906560.

The previous prime is 76640251. The next prime is 76640257. The reversal of 76640256 is 65204667.

76640256 is a `hidden beast` number, since 7 + 6 + 640 + 2 + 5 + 6 = 666.

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 76640256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76640251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6967291 + ... + 6967301.

It is an arithmetic number, because the mean of its divisors is an integer number (917392).

Almost surely, 2^76640256 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 76640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143113152).

76640256 is an abundant number, since it is smaller than the sum of its proper divisors (209586048).

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

76640256 is an equidigital number, since it uses as much as digits as its factorization.

76640256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 76640256 is about 8754.4420724567. The cubic root of 76640256 is about 424.7685124607.

The spelling of 76640256 in words is "seventy-six million, six hundred forty thousand, two hundred fifty-six".