790126128 has 180 divisors, whose sum is σ = 2455691784. Its totient is φ = 236966400.

The previous prime is 790126123. The next prime is 790126147. The reversal of 790126128 is 821621097.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 790126092 and 790126101.

It is not an unprimeable number, because it can be changed into a prime (790126121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2386923 + ... + 2387253.

Almost surely, 2^790126128 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 790126128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227845892).

790126128 is an abundant number, since it is smaller than the sum of its proper divisors (1665565656).

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

790126128 is a wasteful number, since it uses less digits than its factorization.

790126128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 790126128 is about 28109.1822719908. The cubic root of 790126128 is about 924.4827409468.

The spelling of 790126128 in words is "seven hundred ninety million, one hundred twenty-six thousand, one hundred twenty-eight".