56758000 has 160 divisors (see below), whose sum is σ = 154365120. Its totient is φ = 20044800.

The previous prime is 56757991. The next prime is 56758001. The reversal of 56758000 is 85765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56758001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961971 + ... + 962029.

It is an arithmetic number, because the mean of its divisors is an integer number (964782).

Almost surely, 2^56758000 is an apocalyptic number.

56758000 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 56758000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

56758000 is an abundant number, since it is smaller than the sum of its proper divisors (97607120).

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

56758000 is a wasteful number, since it uses less digits than its factorization.

56758000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 56758000 is about 7533.7905465974. The cubic root of 56758000 is about 384.3046988445.

The spelling of 56758000 in words is "fifty-six million, seven hundred fifty-eight thousand".