75870900 has 108 divisors (see below), whose sum is σ = 271808992. Its totient is φ = 17340480.

The previous prime is 75870863. The next prime is 75870901. The reversal of 75870900 is 907857.

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 (75870901) 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, 279 + ... + 12321.

Almost surely, 2^75870900 is an apocalyptic number.

75870900 is a gapful number since it is divisible by the number (70) 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 75870900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135904496).

75870900 is an abundant number, since it is smaller than the sum of its proper divisors (195938092).

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

75870900 is a wasteful number, since it uses less digits than its factorization.

75870900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12070 (or 12060 counting only the distinct ones).

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

The square root of 75870900 is about 8710.3903471658. The cubic root of 75870900 is about 423.3423782693.

The spelling of 75870900 in words is "seventy-five million, eight hundred seventy thousand, nine hundred".