77904000 has 192 divisors, whose sum is σ = 280289880. Its totient is φ = 20736000.

The previous prime is 77903989. The next prime is 77904017. The reversal of 77904000 is 40977.

It can be written as a sum of positive squares in 4 ways, for example, as 19289664 + 58614336 = 4392^2 + 7656^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143730 + ... + 144270.

Almost surely, 2^77904000 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 77904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140144940).

77904000 is an abundant number, since it is smaller than the sum of its proper divisors (202385880).

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

77904000 is a wasteful number, since it uses less digits than its factorization.

77904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 77904000 is about 8826.3242632480. The cubic root of 77904000 is about 427.0905076460.

Adding to 77904000 its reverse (40977), we get a palindrome (77944977).

The spelling of 77904000 in words is "seventy-seven million, nine hundred four thousand".