790918128 has 640 divisors, whose sum is σ = 3199795200. Its totient is φ = 180403200.

The previous prime is 790918127. The next prime is 790918129. The reversal of 790918128 is 821819097.

It is an interprime number because it is at equal distance from previous prime (790918127) and next prime (790918129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790918127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13405363 + ... + 13405421.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^790918128 is an apocalyptic number.

790918128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790918128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599897600).

790918128 is an abundant number, since it is smaller than the sum of its proper divisors (2408877072).

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

790918128 is a wasteful number, since it uses less digits than its factorization.

790918128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 790918128 is about 28123.2666665876. The cubic root of 790918128 is about 924.7915295477.

The spelling of 790918128 in words is "seven hundred ninety million, nine hundred eighteen thousand, one hundred twenty-eight".