77504000 has 160 divisors (see below), whose sum is σ = 222146496. Its totient is φ = 26419200.

The previous prime is 77503991. The next prime is 77504023. The reversal of 77504000 is 40577.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447914 + ... + 448086.

Almost surely, 2^77504000 is an apocalyptic number.

77504000 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 77504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111073248).

77504000 is an abundant number, since it is smaller than the sum of its proper divisors (144642496).

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

77504000 is an equidigital number, since it uses as much as digits as its factorization.

77504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 77504000 is about 8803.6356126319. The cubic root of 77504000 is about 426.3582841080.

Adding to 77504000 its reverse (40577), we get a palindrome (77544577).

The spelling of 77504000 in words is "seventy-seven million, five hundred four thousand".