7804807920 has 640 divisors, whose sum is σ = 33697843200. Its totient is φ = 1616412672.

The previous prime is 7804807853. The next prime is 7804807943. The reversal of 7804807920 is 297084087.

7804807920 is a `hidden beast` number, since 7 + 80 + 480 + 7 + 92 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11596704 + ... + 11597376.

It is an arithmetic number, because the mean of its divisors is an integer number (52652880).

Almost surely, 2^7804807920 is an apocalyptic number.

7804807920 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 7804807920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848921600).

7804807920 is an abundant number, since it is smaller than the sum of its proper divisors (25893035280).

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

7804807920 is a wasteful number, since it uses less digits than its factorization.

7804807920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7804807920 is about 88344.8239570378. The cubic root of 7804807920 is about 1983.5998789347.

The spelling of 7804807920 in words is "seven billion, eight hundred four million, eight hundred seven thousand, nine hundred twenty".