790882560 has 216 divisors, whose sum is σ = 2947419384. Its totient is φ = 194641920.

The previous prime is 790882549. The next prime is 790882567. The reversal of 790882560 is 65288097.

790882560 is a `hidden beast` number, since 7 + 9 + 0 + 8 + 82 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 785793024 = 2256^2 + 28032^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790882567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 147120 + ... + 152400.

Almost surely, 2^790882560 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 790882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473709692).

790882560 is an abundant number, since it is smaller than the sum of its proper divisors (2156536824).

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

790882560 is a wasteful number, since it uses less digits than its factorization.

790882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 790882560 is about 28122.6343005061. The cubic root of 790882560 is about 924.7776665544. Note that the first 3 decimals are identical.

The spelling of 790882560 in words is "seven hundred ninety million, eight hundred eighty-two thousand, five hundred sixty".