7940116800 has 1512 divisors, whose sum is σ = 38203388160. Its totient is φ = 1596672000.

The previous prime is 7940116763. The next prime is 7940116813. The reversal of 7940116800 is 86110497.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 256132785 + ... + 256132815.

Almost surely, 2^7940116800 is an apocalyptic number.

7940116800 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 7940116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19101694080).

7940116800 is an abundant number, since it is smaller than the sum of its proper divisors (30263271360).

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

7940116800 is a wasteful number, since it uses less digits than its factorization.

7940116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7940116800 is about 89107.3330315749. Note that the first 3 decimals coincide. The cubic root of 7940116800 is about 1994.9972299131.

The spelling of 7940116800 in words is "seven billion, nine hundred forty million, one hundred sixteen thousand, eight hundred".