790098408 has 128 divisors (see below), whose sum is σ = 2404080000. Its totient is φ = 238440960.

The previous prime is 790098377. The next prime is 790098427. The reversal of 790098408 is 804890097.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752668 + ... + 753716.

It is an arithmetic number, because the mean of its divisors is an integer number (18781875).

Almost surely, 2^790098408 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 790098408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202040000).

790098408 is an abundant number, since it is smaller than the sum of its proper divisors (1613981592).

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

790098408 is a wasteful number, since it uses less digits than its factorization.

790098408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 790098408 is about 28108.6891903554. The cubic root of 790098408 is about 924.4719296091.

The spelling of 790098408 in words is "seven hundred ninety million, ninety-eight thousand, four hundred eight".