78570900 has 108 divisors (see below), whose sum is σ = 250143712. Its totient is φ = 20623680.

The previous prime is 78570859. The next prime is 78570907. The reversal of 78570900 is 907587.

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 (78570907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59649 + ... + 60951.

Almost surely, 2^78570900 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 78570900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125071856).

78570900 is an abundant number, since it is smaller than the sum of its proper divisors (171572812).

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

78570900 is a wasteful number, since it uses less digits than its factorization.

78570900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 78570900 is about 8864.0227887794. The cubic root of 78570900 is about 428.3057543885.

The spelling of 78570900 in words is "seventy-eight million, five hundred seventy thousand, nine hundred".