792842112 has 144 divisors (see below), whose sum is σ = 2370994080. Its totient is φ = 254039040.

The previous prime is 792842101. The next prime is 792842189. The reversal of 792842112 is 211248297.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×792842112² = 1257197229121241088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5321014 + ... + 5321162.

Almost surely, 2^792842112 is an apocalyptic number.

792842112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185497040).

792842112 is an abundant number, since it is smaller than the sum of its proper divisors (1578151968).

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

792842112 is a wasteful number, since it uses less digits than its factorization.

792842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 185 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 792842112 is about 28157.4521574662. The cubic root of 792842112 is about 925.5408036004.

The spelling of 792842112 in words is "seven hundred ninety-two million, eight hundred forty-two thousand, one hundred twelve".