78911377920 has 960 divisors, whose sum is σ = 306286396416. Its totient is φ = 18685624320.

The previous prime is 78911377859. The next prime is 78911377939. The reversal of 78911377920 is 2977311987.

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

It is a super-3 number, since 3×78911377920³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 813519312 + ... + 813519408.

Almost surely, 2^78911377920 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 78911377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153143198208).

78911377920 is an abundant number, since it is smaller than the sum of its proper divisors (227375018496).

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

78911377920 is a wasteful number, since it uses less digits than its factorization.

78911377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 78911377920 in words is "seventy-eight billion, nine hundred eleven million, three hundred seventy-seven thousand, nine hundred twenty".