76561056 has 216 divisors, whose sum is σ = 259246260. Its totient is φ = 21415680.

The previous prime is 76561031. The next prime is 76561057. The reversal of 76561056 is 65016567.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 23853456 + 52707600 = 4884^2 + 7260^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 76561056.

It is not an unprimeable number, because it can be changed into a prime (76561057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5889306 + ... + 5889318.

Almost surely, 2^76561056 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 76561056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129623130).

76561056 is an abundant number, since it is smaller than the sum of its proper divisors (182685204).

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

76561056 is a wasteful number, since it uses less digits than its factorization.

76561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 29 counting only the distinct ones).

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

The square root of 76561056 is about 8749.9174853252. The cubic root of 76561056 is about 424.6221435112.

The spelling of 76561056 in words is "seventy-six million, five hundred sixty-one thousand, fifty-six".