790115040 has 384 divisors, whose sum is σ = 3251404800. Its totient is φ = 176670720.

The previous prime is 790115023. The next prime is 790115267. The reversal of 790115040 is 40511097.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 790114995 and 790115013.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 617121 + ... + 618399.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2^790115040 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 790115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

790115040 is an abundant number, since it is smaller than the sum of its proper divisors (2461289760).

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

790115040 is a wasteful number, since it uses less digits than its factorization.

790115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 790115040 is about 28108.9850403745. The cubic root of 790115040 is about 924.4784164421.

The spelling of 790115040 in words is "seven hundred ninety million, one hundred fifteen thousand, forty".