760461400 has 48 divisors (see below), whose sum is σ = 1770087600. Its totient is φ = 303838080.

The previous prime is 760461353. The next prime is 760461431. The reversal of 760461400 is 4164067.

760461400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243046 + ... + 246154.

It is an arithmetic number, because the mean of its divisors is an integer number (36876825).

Almost surely, 2^760461400 is an apocalyptic number.

It is an amenable number.

760461400 is an abundant number, since it is smaller than the sum of its proper divisors (1009626200).

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

760461400 is a wasteful number, since it uses less digits than its factorization.

760461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 760461400 is about 27576.4646029907. The cubic root of 760461400 is about 912.7651671975.

The spelling of 760461400 in words is "seven hundred sixty million, four hundred sixty-one thousand, four hundred".