7940860800 has 192 divisors, whose sum is σ = 26999938560. Its totient is φ = 2049177600.

The previous prime is 7940860793. The next prime is 7940860813. The reversal of 7940860800 is 80680497.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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, 284259 + ... + 310941.

It is an arithmetic number, because the mean of its divisors is an integer number (140624680).

Almost surely, 2^7940860800 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 7940860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499969280).

7940860800 is an abundant number, since it is smaller than the sum of its proper divisors (19059077760).

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

7940860800 is a wasteful number, since it uses less digits than its factorization.

7940860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26741 (or 26724 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7940860800 is about 89111.5076743739. The cubic root of 7940860800 is about 1995.0595393064.

The spelling of 7940860800 in words is "seven billion, nine hundred forty million, eight hundred sixty thousand, eight hundred".