799476480 has 360 divisors, whose sum is σ = 3125186064. Its totient is φ = 193536000.

The previous prime is 799476449. The next prime is 799476487. The reversal of 799476480 is 84674997.

It is a happy number.

799476480 is a `hidden beast` number, since 7 + 9 + 94 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (799476487) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1140130 + ... + 1140830.

Almost surely, 2^799476480 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 799476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562593032).

799476480 is an abundant number, since it is smaller than the sum of its proper divisors (2325709584).

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

799476480 is a wasteful number, since it uses less digits than its factorization.

799476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 799476480 is about 28275.0151193594. The cubic root of 799476480 is about 928.1152254863.

The spelling of 799476480 in words is "seven hundred ninety-nine million, four hundred seventy-six thousand, four hundred eighty".