790035628032 has 816 divisors, whose sum is σ = 2854957064960. Its totient is φ = 213270921216.

The previous prime is 790035627991. The next prime is 790035628049. The reversal of 790035628032 is 230826530097.

790035628032 is a `hidden beast` number, since 7 + 9 + 0 + 0 + 3 + 562 + 80 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2118057798 + ... + 2118058170.

Almost surely, 2^790035628032 is an apocalyptic number.

790035628032 is a gapful number since it is divisible by the number (72) 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 790035628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427478532480).

790035628032 is an abundant number, since it is smaller than the sum of its proper divisors (2064921436928).

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

790035628032 is an frugal number, since it uses more digits than its factorization.

790035628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 790035628032 in words is "seven hundred ninety billion, thirty-five million, six hundred twenty-eight thousand, thirty-two".