78077176320 has 960 divisors, whose sum is σ = 309404696832. Its totient is φ = 16652697600.

The previous prime is 78077176291. The next prime is 78077176327. The reversal of 78077176320 is 2367177087.

It is a happy number.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78077176320.

It is not an unprimeable number, because it can be changed into a prime (78077176327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277854580 + ... + 277854860.

Almost surely, 2^78077176320 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 78077176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154702348416).

78077176320 is an abundant number, since it is smaller than the sum of its proper divisors (231327520512).

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

78077176320 is a wasteful number, since it uses less digits than its factorization.

78077176320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 48.

The spelling of 78077176320 in words is "seventy-eight billion, seventy-seven million, one hundred seventy-six thousand, three hundred twenty".