790225920 has 264 divisors, whose sum is σ = 2988947520. Its totient is φ = 191447040.

The previous prime is 790225907. The next prime is 790225937. The reversal of 790225920 is 29522097.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506101 + ... + 507659.

Almost surely, 2^790225920 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 790225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494473760).

790225920 is an abundant number, since it is smaller than the sum of its proper divisors (2198721600).

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

790225920 is a wasteful number, since it uses less digits than its factorization.

790225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 790225920 is about 28110.9572942652. The cubic root of 790225920 is about 924.5216596691.

The spelling of 790225920 in words is "seven hundred ninety million, two hundred twenty-five thousand, nine hundred twenty".