799533840 has 160 divisors (see below), whose sum is σ = 2872958976. Its totient is φ = 180149760.

The previous prime is 799533827. The next prime is 799533841. The reversal of 799533840 is 48335997.

It is a super-3 number, since 3×799533840³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 799533840.

It is not an unprimeable number, because it can be changed into a prime (799533841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 115929 + ... + 122631.

Almost surely, 2^799533840 is an apocalyptic number.

799533840 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 799533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436479488).

799533840 is an abundant number, since it is smaller than the sum of its proper divisors (2073425136).

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

799533840 is a wasteful number, since it uses less digits than its factorization.

799533840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 799533840 is about 28276.0294242314. The cubic root of 799533840 is about 928.1374214347.

The spelling of 799533840 in words is "seven hundred ninety-nine million, five hundred thirty-three thousand, eight hundred forty".