76051656 has 64 divisors (see below), whose sum is σ = 212040000. Its totient is φ = 25256448.

The previous prime is 76051627. The next prime is 76051667. The reversal of 76051656 is 65615067.

It is a happy number.

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 76051656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81400 + ... + 82328.

It is an arithmetic number, because the mean of its divisors is an integer number (3313125).

Almost surely, 2^76051656 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 76051656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020000).

76051656 is an abundant number, since it is smaller than the sum of its proper divisors (135988344).

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

76051656 is a wasteful number, since it uses less digits than its factorization.

76051656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 76051656 is about 8720.7600586187. The cubic root of 76051656 is about 423.6783041048.

It can be divided in two parts, 7605 and 1656, that added together give a cube (9261 = 21³).

The spelling of 76051656 in words is "seventy-six million, fifty-one thousand, six hundred fifty-six".