791487433800 has 960 divisors, whose sum is σ = 3194951760000. Its totient is φ = 177875066880.

The previous prime is 791487433771. The next prime is 791487433901. The reversal of 791487433800 is 8334784197.

791487433800 is a `hidden beast` number, since 7 + 91 + 48 + 7 + 433 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2348627232 + ... + 2348627568.

It is an arithmetic number, because the mean of its divisors is an integer number (3328074750).

Almost surely, 2^791487433800 is an apocalyptic number.

791487433800 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 791487433800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597475880000).

791487433800 is an abundant number, since it is smaller than the sum of its proper divisors (2403464326200).

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

791487433800 is a wasteful number, since it uses less digits than its factorization.

791487433800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 791487433800 in words is "seven hundred ninety-one billion, four hundred eighty-seven million, four hundred thirty-three thousand, eight hundred".