7879939200 has 960 divisors, whose sum is σ = 34342355520. Its totient is φ = 1741824000.

The previous prime is 7879939159. The next prime is 7879939201. The reversal of 7879939200 is 29399787.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (7879939201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78019150 + ... + 78019250.

It is an arithmetic number, because the mean of its divisors is an integer number (35773287).

Almost surely, 2^7879939200 is an apocalyptic number.

7879939200 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 7879939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171177760).

7879939200 is an abundant number, since it is smaller than the sum of its proper divisors (26462416320).

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

7879939200 is a wasteful number, since it uses less digits than its factorization.

7879939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 7879939200 is about 88769.0216235371. The cubic root of 7879939200 is about 1989.9444611319.

The spelling of 7879939200 in words is "seven billion, eight hundred seventy-nine million, nine hundred thirty-nine thousand, two hundred".