76342500 has 300 divisors, whose sum is σ = 277832940. Its totient is φ = 18144000.

The previous prime is 76342493. The next prime is 76342531. The reversal of 76342500 is 524367.

It is a happy number.

76342500 is a `hidden beast` number, since 7 + 634 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 68856804 + 7485696 = 8298^2 + 2736^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2632486 + ... + 2632514.

Almost surely, 2^76342500 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 76342500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138916470).

76342500 is an abundant number, since it is smaller than the sum of its proper divisors (201490440).

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

76342500 is a wasteful number, since it uses less digits than its factorization.

76342500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 76342500 is about 8737.4195275264. The cubic root of 76342500 is about 424.2177074087.

Adding to 76342500 its reverse (524367), we get a palindrome (76866867).

The spelling of 76342500 in words is "seventy-six million, three hundred forty-two thousand, five hundred".