792025416 has 192 divisors, whose sum is σ = 2695056000. Its totient is φ = 208801152.

The previous prime is 792025391. The next prime is 792025439. The reversal of 792025416 is 614520297.

792025416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 319815 + ... + 322281.

It is an arithmetic number, because the mean of its divisors is an integer number (14036750).

Almost surely, 2^792025416 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 792025416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347528000).

792025416 is an abundant number, since it is smaller than the sum of its proper divisors (1903030584).

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

792025416 is a wasteful number, since it uses less digits than its factorization.

792025416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 792025416 is about 28142.9461144351. The cubic root of 792025416 is about 925.2228987061. Note that the first 3 decimals are identical.

The spelling of 792025416 in words is "seven hundred ninety-two million, twenty-five thousand, four hundred sixteen".