790917120 has 312 divisors, whose sum is σ = 3138266976. Its totient is φ = 180486144.

The previous prime is 790917119. The next prime is 790917131. The reversal of 790917120 is 21719097.

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 23 ways as a sum of consecutive naturals, for example, 1289934 + ... + 1290546.

It is an arithmetic number, because the mean of its divisors is an integer number (10058548).

Almost surely, 2^790917120 is an apocalyptic number.

790917120 is a gapful number since it is divisible by the number (70) 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 790917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569133488).

790917120 is an abundant number, since it is smaller than the sum of its proper divisors (2347349856).

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

790917120 is a wasteful number, since it uses less digits than its factorization.

790917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 790917120 is about 28123.2487454775. The cubic root of 790917120 is about 924.7911366751.

The spelling of 790917120 in words is "seven hundred ninety million, nine hundred seventeen thousand, one hundred twenty".