792910464 has 128 divisors (see below), whose sum is σ = 2327460480. Its totient is φ = 237895680.

The previous prime is 792910457. The next prime is 792910471. The reversal of 792910464 is 464019297.

It is an interprime number because it is at equal distance from previous prime (792910457) and next prime (792910471).

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 147504 + ... + 152784.

It is an arithmetic number, because the mean of its divisors is an integer number (18183285).

Almost surely, 2^792910464 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 792910464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163730240).

792910464 is an abundant number, since it is smaller than the sum of its proper divisors (1534550016).

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

792910464 is a wasteful number, since it uses less digits than its factorization.

792910464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 792910464 is about 28158.6658774879. The cubic root of 792910464 is about 925.5674002145.

The spelling of 792910464 in words is "seven hundred ninety-two million, nine hundred ten thousand, four hundred sixty-four".