790206450374880 has 2304 divisors, whose sum is σ = 3494224790784000. Its totient is φ = 163260095201280.

The previous prime is 790206450374867. The next prime is 790206450374897. The reversal of 790206450374880 is 88473054602097.

790206450374880 is a `hidden beast` number, since 7 + 9 + 0 + 2 + 0 + 6 + 4 + 503 + 7 + 48 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 627646107691 + ... + 627646108949.

It is an arithmetic number, because the mean of its divisors is an integer number (1516590621000).

Almost surely, 2^{790206450374880} is an apocalyptic number.

790206450374880 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 790206450374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747112395392000).

790206450374880 is an abundant number, since it is smaller than the sum of its proper divisors (2704018340409120).

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

790206450374880 is a wasteful number, since it uses less digits than its factorization.

790206450374880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 790206450374880 in words is "seven hundred ninety trillion, two hundred six billion, four hundred fifty million, three hundred seventy-four thousand, eight hundred eighty".