7804796160 has 288 divisors, whose sum is σ = 28774287360. Its totient is φ = 1766006784.

The previous prime is 7804796159. The next prime is 7804796161. The reversal of 7804796160 is 616974087.

It is an interprime number because it is at equal distance from previous prime (7804796159) and next prime (7804796161).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7804796161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2767231 + ... + 2770049.

It is an arithmetic number, because the mean of its divisors is an integer number (99910720).

Almost surely, 2^7804796160 is an apocalyptic number.

7804796160 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 7804796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387143680).

7804796160 is an abundant number, since it is smaller than the sum of its proper divisors (20969491200).

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

7804796160 is a wasteful number, since it uses less digits than its factorization.

7804796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 7804796160 is about 88344.7573996329. The cubic root of 7804796160 is about 1983.5988826622.

The spelling of 7804796160 in words is "seven billion, eight hundred four million, seven hundred ninety-six thousand, one hundred sixty".