790505100 has 648 divisors, whose sum is σ = 3349723104. Its totient is φ = 152064000.

The previous prime is 790505099. The next prime is 790505129. The reversal of 790505100 is 1505097.

790505100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12959070 + ... + 12959130.

Almost surely, 2^790505100 is an apocalyptic number.

790505100 is a gapful number since it is divisible by the number (70) 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 790505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674861552).

790505100 is an abundant number, since it is smaller than the sum of its proper divisors (2559218004).

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

790505100 is a wasteful number, since it uses less digits than its factorization.

790505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 790505100 is about 28115.9225351046. The cubic root of 790505100 is about 924.6305220255.

The spelling of 790505100 in words is "seven hundred ninety million, five hundred five thousand, one hundred".