7979942880 has 768 divisors, whose sum is σ = 35115171840. Its totient is φ = 1647599616.

The previous prime is 7979942833. The next prime is 7979942899. The reversal of 7979942880 is 882499797.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 20835169 + ... + 20835551.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 2^7979942880 is an apocalyptic number.

7979942880 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 7979942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557585920).

7979942880 is an abundant number, since it is smaller than the sum of its proper divisors (27135228960).

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

7979942880 is a wasteful number, since it uses less digits than its factorization.

7979942880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The square root of 7979942880 is about 89330.5260255418. The cubic root of 7979942880 is about 1998.3271745509.

The spelling of 7979942880 in words is "seven billion, nine hundred seventy-nine million, nine hundred forty-two thousand, eight hundred eighty".