78880081920 has 192 divisors, whose sum is σ = 252972720000. Its totient is φ = 20983185408.

The previous prime is 78880081909. The next prime is 78880082063. The reversal of 78880081920 is 2918008887.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13483156 + ... + 13489004.

It is an arithmetic number, because the mean of its divisors is an integer number (1317566250).

Almost surely, 2^78880081920 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 78880081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126486360000).

78880081920 is an abundant number, since it is smaller than the sum of its proper divisors (174092638080).

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

78880081920 is a wasteful number, since it uses less digits than its factorization.

78880081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The spelling of 78880081920 in words is "seventy-eight billion, eight hundred eighty million, eighty-one thousand, nine hundred twenty".