792890400 has 144 divisors (see below), whose sum is σ = 2607208128. Its totient is φ = 209280000.

The previous prime is 792890389. The next prime is 792890411. The reversal of 792890400 is 4098297.

It is an interprime number because it is at equal distance from previous prime (792890389) and next prime (792890411).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240765 + ... + 244035.

It is an arithmetic number, because the mean of its divisors is an integer number (18105612).

Almost surely, 2^792890400 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 792890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303604064).

792890400 is an abundant number, since it is smaller than the sum of its proper divisors (1814317728).

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

792890400 is a wasteful number, since it uses less digits than its factorization.

792890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 792890400 is about 28158.3096083554. The cubic root of 792890400 is about 925.5595932208.

The spelling of 792890400 in words is "seven hundred ninety-two million, eight hundred ninety thousand, four hundred".