790790040 has 224 divisors, whose sum is σ = 2729177280. Its totient is φ = 206032896.

The previous prime is 790790017. The next prime is 790790041. The reversal of 790790040 is 40097097.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 790789977 and 790790004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790790041) 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 55 ways as a sum of consecutive naturals, for example, 1370232 + ... + 1370808.

Almost surely, 2^790790040 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 790790040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364588640).

790790040 is an abundant number, since it is smaller than the sum of its proper divisors (1938387240).

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

790790040 is a wasteful number, since it uses less digits than its factorization.

790790040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 790790040 is about 28120.9893140337. The cubic root of 790790040 is about 924.7416039872.

The spelling of 790790040 in words is "seven hundred ninety million, seven hundred ninety thousand, forty".