76627056 has 80 divisors (see below), whose sum is σ = 218200320. Its totient is φ = 22978560.

The previous prime is 76627051. The next prime is 76627069. The reversal of 76627056 is 65072667.

It is a super-2 number, since 2×76627056² = 11743411422454272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76627051) 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 15 ways as a sum of consecutive naturals, for example, 53680 + ... + 55088.

It is an arithmetic number, because the mean of its divisors is an integer number (2727504).

Almost surely, 2^76627056 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 76627056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109100160).

76627056 is an abundant number, since it is smaller than the sum of its proper divisors (141573264).

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

76627056 is a wasteful number, since it uses less digits than its factorization.

76627056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 76627056 is about 8753.6881370083. The cubic root of 76627056 is about 424.7441246407.

The spelling of 76627056 in words is "seventy-six million, six hundred twenty-seven thousand, fifty-six".