799632261120 has 1216 divisors, whose sum is σ = 3382280294400. Its totient is φ = 156279767040.

The previous prime is 799632261049. The next prime is 799632261149. The reversal of 799632261120 is 21162236997.

It is a tau number, because it is divible by the number of its divisors (1216).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 799632261120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5752750011 + ... + 5752750149.

Almost surely, 2^799632261120 is an apocalyptic number.

799632261120 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 799632261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691140147200).

799632261120 is an abundant number, since it is smaller than the sum of its proper divisors (2582648033280).

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

799632261120 is a wasteful number, since it uses less digits than its factorization.

799632261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 799632261120 in words is "seven hundred ninety-nine billion, six hundred thirty-two million, two hundred sixty-one thousand, one hundred twenty".