790072075440000 has 800 divisors, whose sum is σ = 2938690569905640. Its totient is φ = 210644375040000.

The previous prime is 790072075439971. The next prime is 790072075440031. The reversal of 790072075440000 is 44570270097.

790072075440000 is a `hidden beast` number, since 79 + 0 + 0 + 72 + 0 + 75 + 440 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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 99 ways as a sum of consecutive naturals, for example, 47193831630 + ... + 47193848370.

Almost surely, 2^{790072075440000} 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 790072075440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469345284952820).

790072075440000 is an abundant number, since it is smaller than the sum of its proper divisors (2148618494465640).

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

790072075440000 is an equidigital number, since it uses as much as digits as its factorization.

790072075440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24070 (or 24034 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 790072075440000 in words is "seven hundred ninety trillion, seventy-two billion, seventy-five million, four hundred forty thousand".