792714240 has 132 divisors (see below), whose sum is σ = 2746893864. Its totient is φ = 211378176.

The previous prime is 792714211. The next prime is 792714253. The reversal of 792714240 is 42417297.

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

It is a junction number, because it is equal to n+sod(n) for n = 792714195 and 792714204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37479 + ... + 54681.

It is an arithmetic number, because the mean of its divisors is an integer number (20809802).

Almost surely, 2^792714240 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 792714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373446932).

792714240 is an abundant number, since it is smaller than the sum of its proper divisors (1954179624).

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

792714240 is a wasteful number, since it uses less digits than its factorization.

792714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17234 (or 17213 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 792714240 is about 28155.1814059153. The cubic root of 792714240 is about 925.4910429082.

The spelling of 792714240 in words is "seven hundred ninety-two million, seven hundred fourteen thousand, two hundred forty".