792906048 has 168 divisors, whose sum is σ = 2587605696. Its totient is φ = 229785600.

The previous prime is 792906047. The next prime is 792906109. The reversal of 792906048 is 840609297.

It is a happy number.

It is a super-4 number, since 4×792906048⁴ (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 792905994 and 792906012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792906047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143008 + ... + 148448.

Almost surely, 2^792906048 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 792906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293802848).

792906048 is an abundant number, since it is smaller than the sum of its proper divisors (1794699648).

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

792906048 is a wasteful number, since it uses less digits than its factorization.

792906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 792906048 is about 28158.5874645729. The cubic root of 792906048 is about 925.5656819401.

The spelling of 792906048 in words is "seven hundred ninety-two million, nine hundred six thousand, forty-eight".