790082973000 has 384 divisors, whose sum is σ = 2848282276320. Its totient is φ = 196842700800.

The previous prime is 790082972971. The next prime is 790082973013. The reversal of 790082973000 is 379280097.

It can be written as a sum of positive squares in 16 ways, for example, as 35050579524 + 755032393476 = 187218^2 + 868926^2 .

It is a super-2 number, since 2×790082973000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20942154 + ... + 20979846.

Almost surely, 2^790082973000 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 790082973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424141138160).

790082973000 is an abundant number, since it is smaller than the sum of its proper divisors (2058199303320).

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

790082973000 is a wasteful number, since it uses less digits than its factorization.

790082973000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37874 (or 37857 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 790082973000 in words is "seven hundred ninety billion, eighty-two million, nine hundred seventy-three thousand".