790995120 has 80 divisors (see below), whose sum is σ = 2463056640. Its totient is φ = 209988352.

The previous prime is 790995109. The next prime is 790995131. The reversal of 790995120 is 21599097.

It is an interprime number because it is at equal distance from previous prime (790995109) and next prime (790995131).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47221 + ... + 61739.

It is an arithmetic number, because the mean of its divisors is an integer number (30788208).

Almost surely, 2^790995120 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 790995120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231528320).

790995120 is an abundant number, since it is smaller than the sum of its proper divisors (1672061520).

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

790995120 is a wasteful number, since it uses less digits than its factorization.

790995120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 790995120 is about 28124.6354643042. The cubic root of 790995120 is about 924.8215365470.

The spelling of 790995120 in words is "seven hundred ninety million, nine hundred ninety-five thousand, one hundred twenty".