793130486400 has 1920 divisors, whose sum is σ = 3526060032000. Its totient is φ = 171743846400.

The previous prime is 793130486389. The next prime is 793130486443. The reversal of 793130486400 is 4684031397.

793130486400 is a `hidden beast` number, since 79 + 3 + 130 + 48 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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, 3318537481 + ... + 3318537719.

It is an arithmetic number, because the mean of its divisors is an integer number (1836489600).

Almost surely, 2^793130486400 is an apocalyptic number.

793130486400 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 793130486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763030016000).

793130486400 is an abundant number, since it is smaller than the sum of its proper divisors (2732929545600).

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

793130486400 is a wasteful number, since it uses less digits than its factorization.

793130486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 793130486400 in words is "seven hundred ninety-three billion, one hundred thirty million, four hundred eighty-six thousand, four hundred".