764550400 has 108 divisors (see below), whose sum is σ = 1921703392. Its totient is φ = 301086720.

The previous prime is 764550361. The next prime is 764550419. The reversal of 764550400 is 4055467.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 427909 + ... + 429691.

Almost surely, 2^764550400 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 764550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960851696).

764550400 is an abundant number, since it is smaller than the sum of its proper divisors (1157152992).

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

764550400 is a wasteful number, since it uses less digits than its factorization.

764550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 764550400 is about 27650.5045161928. The cubic root of 764550400 is about 914.3982227617.

The spelling of 764550400 in words is "seven hundred sixty-four million, five hundred fifty thousand, four hundred".