7980193872 has 280 divisors, whose sum is σ = 27121579584. Its totient is φ = 2226051072.

The previous prime is 7980193843. The next prime is 7980193877. The reversal of 7980193872 is 2783910897.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7980193877) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3509728 + ... + 3512000.

Almost surely, 2^7980193872 is an apocalyptic number.

7980193872 is a gapful number since it is divisible by the number (72) 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 7980193872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560789792).

7980193872 is an abundant number, since it is smaller than the sum of its proper divisors (19141385712).

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

7980193872 is a wasteful number, since it uses less digits than its factorization.

7980193872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 7980193872 is about 89331.9308646130. The cubic root of 7980193872 is about 1998.3481253640.

The spelling of 7980193872 in words is "seven billion, nine hundred eighty million, one hundred ninety-three thousand, eight hundred seventy-two".