793299687840 has 768 divisors, whose sum is σ = 3252542791680. Its totient is φ = 178440192000.

The previous prime is 793299687833. The next prime is 793299687853. The reversal of 793299687840 is 48786992397.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57349725 + ... + 57363555.

It is an arithmetic number, because the mean of its divisors is an integer number (4235081760).

Almost surely, 2^793299687840 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 793299687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626271395840).

793299687840 is an abundant number, since it is smaller than the sum of its proper divisors (2459243103840).

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

793299687840 is a wasteful number, since it uses less digits than its factorization.

793299687840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13954 (or 13940 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 793299687840 in words is "seven hundred ninety-three billion, two hundred ninety-nine million, six hundred eighty-seven thousand, eight hundred forty".