56778624 has 128 divisors (see below), whose sum is σ = 191596800. Its totient is φ = 16215552.

The previous prime is 56778613. The next prime is 56778641. The reversal of 56778624 is 42687765.

56778624 is a `hidden beast` number, since 567 + 7 + 86 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 56778624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23019 + ... + 25365.

It is an arithmetic number, because the mean of its divisors is an integer number (1496850).

Almost surely, 2^56778624 is an apocalyptic number.

56778624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95798400).

56778624 is an abundant number, since it is smaller than the sum of its proper divisors (134818176).

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

56778624 is a wasteful number, since it uses less digits than its factorization.

56778624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2359 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 56778624 is about 7535.1591887630. The cubic root of 56778624 is about 384.3512411251.

The spelling of 56778624 in words is "fifty-six million, seven hundred seventy-eight thousand, six hundred twenty-four".