75681900 has 216 divisors, whose sum is σ = 278669664. Its totient is φ = 16819200.

The previous prime is 75681887. The next prime is 75681911. The reversal of 75681900 is 918657.

75681900 is a `hidden beast` number, since 7 + 568 + 1 + 90 + 0 = 666.

It is a super-2 number, since 2×75681900² = 11455499975220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258154 + ... + 258446.

Almost surely, 2^75681900 is an apocalyptic number.

75681900 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 75681900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139334832).

75681900 is an abundant number, since it is smaller than the sum of its proper divisors (202987764).

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

75681900 is a wasteful number, since it uses less digits than its factorization.

75681900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 75681900 is about 8699.5344703036. The cubic root of 75681900 is about 422.9905602910.

75681900 divided by its sum of digits (36) gives a triangular number (2102275 = T₂₀₅₀).

The spelling of 75681900 in words is "seventy-five million, six hundred eighty-one thousand, nine hundred".