790377984 has 240 divisors, whose sum is σ = 2573835264. Its totient is φ = 231321600.

The previous prime is 790377971. The next prime is 790377989. The reversal of 790377984 is 489773097.

It is a self number, because there is not a number n which added to its sum of digits gives 790377984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790377989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1571077 + ... + 1571579.

Almost surely, 2^790377984 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 790377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286917632).

790377984 is an abundant number, since it is smaller than the sum of its proper divisors (1783457280).

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

790377984 is a wasteful number, since it uses less digits than its factorization.

790377984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 790377984 is about 28113.6618746118. The cubic root of 790377984 is about 924.5809580889.

The spelling of 790377984 in words is "seven hundred ninety million, three hundred seventy-seven thousand, nine hundred eighty-four".