790903080 has 384 divisors, whose sum is σ = 2971987200. Its totient is φ = 180633600.

The previous prime is 790903067. The next prime is 790903103. The reversal of 790903080 is 80309097.

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

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 95 ways as a sum of consecutive naturals, for example, 8153592 + ... + 8153688.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^790903080 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 790903080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485993600).

790903080 is an abundant number, since it is smaller than the sum of its proper divisors (2181084120).

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

790903080 is a wasteful number, since it uses less digits than its factorization.

790903080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 790903080 is about 28122.9991288269. Note that the first 3 decimals coincide. The cubic root of 790903080 is about 924.7856644859.

The spelling of 790903080 in words is "seven hundred ninety million, nine hundred three thousand, eighty".