76464000 has 320 divisors, whose sum is σ = 288802800. Its totient is φ = 20044800.

The previous prime is 76463939. The next prime is 76464013. The reversal of 76464000 is 46467.

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 1295971 + ... + 1296029.

Almost surely, 2^76464000 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 76464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144401400).

76464000 is an abundant number, since it is smaller than the sum of its proper divisors (212338800).

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

76464000 is an equidigital number, since it uses as much as digits as its factorization.

76464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 76464000 is about 8744.3696170736. The cubic root of 76464000 is about 424.4426373063.

The spelling of 76464000 in words is "seventy-six million, four hundred sixty-four thousand".