790820480 has 64 divisors (see below), whose sum is σ = 1903473000. Its totient is φ = 314167296.

The previous prime is 790820383. The next prime is 790820539. The reversal of 790820480 is 84028097.

It can be written as a sum of positive squares in 4 ways, for example, as 359178304 + 431642176 = 18952^2 + 20776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91214 + ... + 99506.

Almost surely, 2^790820480 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 790820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951736500).

790820480 is an abundant number, since it is smaller than the sum of its proper divisors (1112652520).

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

790820480 is a wasteful number, since it uses less digits than its factorization.

790820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8461 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 790820480 is about 28121.5305415619. The cubic root of 790820480 is about 924.7534692409.

The spelling of 790820480 in words is "seven hundred ninety million, eight hundred twenty thousand, four hundred eighty".