76256785152 has 540 divisors, whose sum is σ = 245376076176. Its totient is φ = 23544483840.

The previous prime is 76256785139. The next prime is 76256785153. The reversal of 76256785152 is 25158765267.

76256785152 is a `hidden beast` number, since 7 + 6 + 2 + 56 + 78 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7056000) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (76256785153) 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 59 ways as a sum of consecutive naturals, for example, 456627373 + ... + 456627539.

Almost surely, 2^76256785152 is an apocalyptic number.

76256785152 is a gapful number since it is divisible by the number (72) 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 76256785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122688038088).

76256785152 is an abundant number, since it is smaller than the sum of its proper divisors (169119291024).

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

76256785152 is a wasteful number, since it uses less digits than its factorization.

76256785152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 252 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 76256785152 in words is "seventy-six billion, two hundred fifty-six million, seven hundred eighty-five thousand, one hundred fifty-two".