56757080 has 64 divisors (see below), whose sum is σ = 131220000. Its totient is φ = 22088704.

The previous prime is 56757073. The next prime is 56757083. The reversal of 56757080 is 8075765.

It is a super-2 number, since 2×56757080² = 6442732260252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56757083) 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, 380846 + ... + 380994.

Almost surely, 2^56757080 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 56757080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65610000).

56757080 is an abundant number, since it is smaller than the sum of its proper divisors (74462920).

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

56757080 is a wasteful number, since it uses less digits than its factorization.

56757080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 56757080 is about 7533.7294881088. The cubic root of 56757080 is about 384.3026224134.

The spelling of 56757080 in words is "fifty-six million, seven hundred fifty-seven thousand, eighty".