56779920 has 160 divisors (see below), whose sum is σ = 198320640. Its totient is φ = 14929920.

The previous prime is 56779913. The next prime is 56779927. The reversal of 56779920 is 2997765.

It is an interprime number because it is at equal distance from previous prime (56779913) and next prime (56779927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56779927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209385 + ... + 209655.

It is an arithmetic number, because the mean of its divisors is an integer number (1239504).

Almost surely, 2^56779920 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 56779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99160320).

56779920 is an abundant number, since it is smaller than the sum of its proper divisors (141540720).

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

56779920 is a wasteful number, since it uses less digits than its factorization.

56779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 56779920 is about 7535.2451851284. The cubic root of 56779920 is about 384.3541654382.

The spelling of 56779920 in words is "fifty-six million, seven hundred seventy-nine thousand, nine hundred twenty".