76365900 has 216 divisors, whose sum is σ = 264451824. Its totient is φ = 18316800.

The previous prime is 76365889. The next prime is 76365907. The reversal of 76365900 is 956367.

It is a happy number.

76365900 is a `hidden beast` number, since 7 + 63 + 6 + 590 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76365907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 713647 + ... + 713753.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 2^76365900 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 76365900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

76365900 is an abundant number, since it is smaller than the sum of its proper divisors (188085924).

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

76365900 is a wasteful number, since it uses less digits than its factorization.

76365900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 76365900 is about 8738.7584930584. The cubic root of 76365900 is about 424.2610457864.

The spelling of 76365900 in words is "seventy-six million, three hundred sixty-five thousand, nine hundred".