799480080 has 720 divisors, whose sum is σ = 3493062144. Its totient is φ = 162570240.

The previous prime is 799480067. The next prime is 799480103. The reversal of 799480080 is 80084997.

799480080 is a `hidden beast` number, since 7 + 99 + 480 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18592539 + ... + 18592581.

Almost surely, 2^799480080 is an apocalyptic number.

799480080 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 799480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746531072).

799480080 is an abundant number, since it is smaller than the sum of its proper divisors (2693582064).

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

799480080 is a wasteful number, since it uses less digits than its factorization.

799480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 799480080 is about 28275.0787797311. The cubic root of 799480080 is about 928.1166185687.

The spelling of 799480080 in words is "seven hundred ninety-nine million, four hundred eighty thousand, eighty".