791080473600 has 1848 divisors, whose sum is σ = 3262623887040. Its totient is φ = 189191946240.

The previous prime is 791080473593. The next prime is 791080473607. The reversal of 791080473600 is 6374080197.

791080473600 is a `hidden beast` number, since 79 + 108 + 0 + 473 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (791080473593) and next prime (791080473607).

It is a super-2 number, since 2×791080473600² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791080473607) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8155468752 + ... + 8155468848.

Almost surely, 2^791080473600 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 791080473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631311943520).

791080473600 is an abundant number, since it is smaller than the sum of its proper divisors (2471543413440).

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

791080473600 is a wasteful number, since it uses less digits than its factorization.

791080473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 791080473600 in words is "seven hundred ninety-one billion, eighty million, four hundred seventy-three thousand, six hundred".