792218880 has 288 divisors, whose sum is σ = 2856040320. Its totient is φ = 210511872.

The previous prime is 792218837. The next prime is 792218891. The reversal of 792218880 is 88812297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×792218880² = 1255221507656908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2799219 + ... + 2799501.

Almost surely, 2^792218880 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 792218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428020160).

792218880 is an abundant number, since it is smaller than the sum of its proper divisors (2063821440).

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

792218880 is an frugal number, since it uses more digits than its factorization.

792218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 792218880 is about 28146.3830713646. The cubic root of 792218880 is about 925.2982257293.

The spelling of 792218880 in words is "seven hundred ninety-two million, two hundred eighteen thousand, eight hundred eighty".