56077740 has 108 divisors (see below), whose sum is σ = 179734464. Its totient is φ = 14150592.

The previous prime is 56077733. The next prime is 56077753. The reversal of 56077740 is 4777065.

56077740 is a `hidden beast` number, since 5 + 607 + 7 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56077695 and 56077704.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64549 + ... + 65411.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 2^56077740 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 56077740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867232).

56077740 is an abundant number, since it is smaller than the sum of its proper divisors (123656724).

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

56077740 is a wasteful number, since it uses less digits than its factorization.

56077740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 56077740 is about 7488.5071943612. The cubic root of 56077740 is about 382.7631919221.

The spelling of 56077740 in words is "fifty-six million, seventy-seven thousand, seven hundred forty".