56777440 has 48 divisors (see below), whose sum is σ = 134800848. Its totient is φ = 22598656.

The previous prime is 56777437. The next prime is 56777443. The reversal of 56777440 is 4477765.

It is an interprime number because it is at equal distance from previous prime (56777437) and next prime (56777443).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 56777393 and 56777402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56777443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36519 + ... + 38041.

It is an arithmetic number, because the mean of its divisors is an integer number (2808351).

Almost surely, 2^56777440 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 56777440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67400424).

56777440 is an abundant number, since it is smaller than the sum of its proper divisors (78023408).

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

56777440 is a wasteful number, since it uses less digits than its factorization.

56777440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 56777440 is about 7535.0806233245. The cubic root of 56777440 is about 384.3485694916.

The spelling of 56777440 in words is "fifty-six million, seven hundred seventy-seven thousand, four hundred forty".