792368640 has 480 divisors, whose sum is σ = 3332197440. Its totient is φ = 170459136.

The previous prime is 792368639. The next prime is 792368659. The reversal of 792368640 is 46863297.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 46609912 + ... + 46609928.

It is an arithmetic number, because the mean of its divisors is an integer number (6942078).

Almost surely, 2^792368640 is an apocalyptic number.

792368640 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 792368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666098720).

792368640 is an abundant number, since it is smaller than the sum of its proper divisors (2539828800).

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

792368640 is an equidigital number, since it uses as much as digits as its factorization.

792368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 792368640 is about 28149.0433229977. The cubic root of 792368640 is about 925.3565277697.

The spelling of 792368640 in words is "seven hundred ninety-two million, three hundred sixty-eight thousand, six hundred forty".