56780496 has 60 divisors (see below), whose sum is σ = 163216612. Its totient is φ = 18413568.

The previous prime is 56780489. The next prime is 56780519. The reversal of 56780496 is 69408765.

56780496 is a `hidden beast` number, since 567 + 80 + 4 + 9 + 6 = 666.

56780496 is a nontrivial binomial coefficient, being equal to C(10657, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 25644096 + 31136400 = 5064^2 + 5580^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 10656.

Almost surely, 2^56780496 is an apocalyptic number.

56780496 is the 10656-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56780496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81608306).

56780496 is an abundant number, since it is smaller than the sum of its proper divisors (106436116).

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

56780496 is a wasteful number, since it uses less digits than its factorization.

56780496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10708 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 56780496 is about 7535.2834054201. The cubic root of 56780496 is about 384.3554651186.

The spelling of 56780496 in words is "fifty-six million, seven hundred eighty thousand, four hundred ninety-six".