790608040 has 64 divisors (see below), whose sum is σ = 1817884800. Its totient is φ = 309374208.

The previous prime is 790608037. The next prime is 790608041. The reversal of 790608040 is 40806097.

It is a super-2 number, since 2×790608040² = 1250122145825283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 790607987 and 790608005.

It is not an unprimeable number, because it can be changed into a prime (790608041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419821 + ... + 421699.

It is an arithmetic number, because the mean of its divisors is an integer number (28404450).

Almost surely, 2^790608040 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 790608040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908942400).

790608040 is an abundant number, since it is smaller than the sum of its proper divisors (1027276760).

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

790608040 is a wasteful number, since it uses less digits than its factorization.

790608040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 790608040 is about 28117.7531108017. The cubic root of 790608040 is about 924.6706555784.

The spelling of 790608040 in words is "seven hundred ninety million, six hundred eight thousand, forty".