56777616 has 240 divisors, whose sum is σ = 198082560. Its totient is φ = 14826240.

The previous prime is 56777549. The next prime is 56777629. The reversal of 56777616 is 61677765.

56777616 is a `hidden beast` number, since 567 + 7 + 76 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718665 + ... + 718743.

It is an arithmetic number, because the mean of its divisors is an integer number (825344).

Almost surely, 2^56777616 is an apocalyptic number.

56777616 is a gapful number since it is divisible by the number (56) 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 56777616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99041280).

56777616 is an abundant number, since it is smaller than the sum of its proper divisors (141304944).

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

56777616 is a wasteful number, since it uses less digits than its factorization.

56777616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 56777616 is about 7535.0923020226. The cubic root of 56777616 is about 384.3489666287.

The spelling of 56777616 in words is "fifty-six million, seven hundred seventy-seven thousand, six hundred sixteen".