7873580800 has 216 divisors, whose sum is σ = 20598369120. Its totient is φ = 2973696000.

The previous prime is 7873580789. The next prime is 7873580861. The reversal of 7873580800 is 80853787.

It is a super-2 number, since 2×7873580800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13100500 + ... + 13101100.

It is an arithmetic number, because the mean of its divisors is an integer number (95362820).

Almost surely, 2^7873580800 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 7873580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299184560).

7873580800 is an abundant number, since it is smaller than the sum of its proper divisors (12724788320).

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

7873580800 is a wasteful number, since it uses less digits than its factorization.

7873580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 7873580800 is about 88733.2001000753. The cubic root of 7873580800 is about 1989.4090818899.

The spelling of 7873580800 in words is "seven billion, eight hundred seventy-three million, five hundred eighty thousand, eight hundred".