764198400 has 240 divisors, whose sum is σ = 2886136704. Its totient is φ = 174612480.

The previous prime is 764198377. The next prime is 764198417. The reversal of 764198400 is 4891467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 267379 + ... + 270221.

Almost surely, 2^764198400 is an apocalyptic number.

764198400 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 764198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443068352).

764198400 is an abundant number, since it is smaller than the sum of its proper divisors (2121938304).

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

764198400 is a wasteful number, since it uses less digits than its factorization.

764198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 764198400 is about 27644.1386192444. The cubic root of 764198400 is about 914.2578711759.

The spelling of 764198400 in words is "seven hundred sixty-four million, one hundred ninety-eight thousand, four hundred".