790083119007000 has 4096 divisors, whose sum is σ = 3770253527040000. Its totient is φ = 148349059891200.

The previous prime is 790083119006941. The next prime is 790083119007107. The reversal of 790083119007000 is 700911380097.

790083119007000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 50090851114 + ... + 50090866886.

It is an arithmetic number, because the mean of its divisors is an integer number (920472052500).

Almost surely, 2^{790083119007000} is an apocalyptic number.

790083119007000 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 790083119007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885126763520000).

790083119007000 is an abundant number, since it is smaller than the sum of its proper divisors (2980170408033000).

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

790083119007000 is a wasteful number, since it uses less digits than its factorization.

790083119007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 790083119007000 in words is "seven hundred ninety trillion, eighty-three billion, one hundred nineteen million, seven thousand".