764086400 has 288 divisors, whose sum is σ = 2400716880. Its totient is φ = 237619200.

The previous prime is 764086399. The next prime is 764086409. The reversal of 764086400 is 4680467.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (764086409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1724579 + ... + 1725021.

Almost surely, 2^764086400 is an apocalyptic number.

764086400 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 764086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200358440).

764086400 is an abundant number, since it is smaller than the sum of its proper divisors (1636630480).

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

764086400 is a wasteful number, since it uses less digits than its factorization.

764086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 764086400 is about 27642.1127991331. The cubic root of 764086400 is about 914.2132048151.

The spelling of 764086400 in words is "seven hundred sixty-four million, eighty-six thousand, four hundred".