56756700 has 540 divisors, whose sum is σ = 251437032. Its totient is φ = 10886400.

The previous prime is 56756699. The next prime is 56756701. The reversal of 56756700 is 765765.

It is an interprime number because it is at equal distance from previous prime (56756699) and next prime (56756701).

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56756701) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4365894 + ... + 4365906.

Almost surely, 2^56756700 is an apocalyptic number.

56756700 is a gapful number since it is divisible by the number (50) 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 56756700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125718516).

56756700 is an abundant number, since it is smaller than the sum of its proper divisors (194680332).

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

56756700 is a wasteful number, since it uses less digits than its factorization.

56756700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 56756700 is about 7533.7042681539. The cubic root of 56756700 is about 384.3017647505.

It can be divided in two parts, 567 and 56700, that multiplied together give a square (32148900 = 5670²).

The spelling of 56756700 in words is "fifty-six million, seven hundred fifty-six thousand, seven hundred".