7904494080 has 960 divisors, whose sum is σ = 35107395840. Its totient is φ = 1645608960.

The previous prime is 7904494061. The next prime is 7904494123. The reversal of 7904494080 is 804944097.

7904494080 is a `hidden beast` number, since 7 + 90 + 449 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254983665 + ... + 254983695.

It is an arithmetic number, because the mean of its divisors is an integer number (36570204).

Almost surely, 2^7904494080 is an apocalyptic number.

7904494080 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 7904494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17553697920).

7904494080 is an abundant number, since it is smaller than the sum of its proper divisors (27202901760).

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

7904494080 is a wasteful number, since it uses less digits than its factorization.

7904494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7904494080 is about 88907.2217539160. The cubic root of 7904494080 is about 1992.0092901294.

The spelling of 7904494080 in words is "seven billion, nine hundred four million, four hundred ninety-four thousand, eighty".