792153216 has 256 divisors, whose sum is σ = 2518992000. Its totient is φ = 244187136.

The previous prime is 792153203. The next prime is 792153221. The reversal of 792153216 is 612351297.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5698875 + ... + 5699013.

Almost surely, 2^792153216 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 792153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259496000).

792153216 is an abundant number, since it is smaller than the sum of its proper divisors (1726838784).

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

792153216 is a wasteful number, since it uses less digits than its factorization.

792153216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 792153216 is about 28145.2165740468. The cubic root of 792153216 is about 925.2726602099.

The spelling of 792153216 in words is "seven hundred ninety-two million, one hundred fifty-three thousand, two hundred sixteen".