764000400 has 180 divisors, whose sum is σ = 2600958032. Its totient is φ = 191662080.

The previous prime is 764000387. The next prime is 764000401. The reversal of 764000400 is 4000467.

It is a super-3 number, since 3×764000400³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (764000401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 345699 + ... + 347901.

Almost surely, 2^764000400 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 764000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300479016).

764000400 is an abundant number, since it is smaller than the sum of its proper divisors (1836957632).

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

764000400 is a wasteful number, since it uses less digits than its factorization.

764000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 764000400 is about 27640.5571579156. The cubic root of 764000400 is about 914.1789044683.

Adding to 764000400 its reverse (4000467), we get a palindrome (768000867).

The spelling of 764000400 in words is "seven hundred sixty-four million, four hundred", and thus it is an aban number.