76504000 has 112 divisors (see below), whose sum is σ = 193523616. Its totient is φ = 29952000.

The previous prime is 76503989. The next prime is 76504031. The reversal of 76504000 is 40567.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583935 + ... + 584065.

Almost surely, 2^76504000 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 76504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96761808).

76504000 is an abundant number, since it is smaller than the sum of its proper divisors (117019616).

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

76504000 is a wasteful number, since it uses less digits than its factorization.

76504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 76504000 is about 8746.6565040591. The cubic root of 76504000 is about 424.5166361636.

Adding to 76504000 its reverse (40567), we get a palindrome (76544567).

The spelling of 76504000 in words is "seventy-six million, five hundred four thousand".