792965376 has 252 divisors, whose sum is σ = 2716655872. Its totient is φ = 226188288.

The previous prime is 792965363. The next prime is 792965377. The reversal of 792965376 is 673569297.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4286520) is a multiple of the sum of its prime factors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792965377) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306065 + ... + 1306671.

Almost surely, 2^792965376 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 792965376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358327936).

792965376 is an abundant number, since it is smaller than the sum of its proper divisors (1923690496).

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

792965376 is an frugal number, since it uses more digits than its factorization.

792965376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 619 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The square root of 792965376 is about 28159.6409068014. The cubic root of 792965376 is about 925.5887660501.

The spelling of 792965376 in words is "seven hundred ninety-two million, nine hundred sixty-five thousand, three hundred seventy-six".