57078000 has 320 divisors, whose sum is σ = 235223040. Its totient is φ = 12960000.

The previous prime is 57077981. The next prime is 57078017. The reversal of 57078000 is 87075.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377925 + ... + 378075.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 2^57078000 is an apocalyptic number.

57078000 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 57078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117611520).

57078000 is an abundant number, since it is smaller than the sum of its proper divisors (178145040).

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

57078000 is a wasteful number, since it uses less digits than its factorization.

57078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 57078000 is about 7554.9983454664. The cubic root of 57078000 is about 385.0255787807.

The spelling of 57078000 in words is "fifty-seven million, seventy-eight thousand".