799719984 has 360 divisors, whose sum is σ = 2828189520. Its totient is φ = 209534976.

The previous prime is 799719971. The next prime is 799720039. The reversal of 799719984 is 489917997.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7077112 + ... + 7077224.

It is an arithmetic number, because the mean of its divisors is an integer number (7856082).

Almost surely, 2^799719984 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 799719984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414094760).

799719984 is an abundant number, since it is smaller than the sum of its proper divisors (2028469536).

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

799719984 is a wasteful number, since it uses less digits than its factorization.

799719984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 63.

The square root of 799719984 is about 28279.3207839227. The cubic root of 799719984 is about 928.2094441550.

The spelling of 799719984 in words is "seven hundred ninety-nine million, seven hundred nineteen thousand, nine hundred eighty-four".