78304891392 has 960 divisors, whose sum is σ = 294322828800. Its totient is φ = 19898597376.

The previous prime is 78304891373. The next prime is 78304891421. The reversal of 78304891392 is 29319840387.

78304891392 is a `hidden beast` number, since 78 + 3 + 0 + 489 + 1 + 3 + 92 = 666.

It is a super-2 number, since 2×78304891392² (a number of 23 digits) contains 22 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, 760241613 + ... + 760241715.

It is an arithmetic number, because the mean of its divisors is an integer number (306586280).

Almost surely, 2^78304891392 is an apocalyptic number.

78304891392 is a gapful number since it is divisible by the number (72) 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 78304891392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147161414400).

78304891392 is an abundant number, since it is smaller than the sum of its proper divisors (216017937408).

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

78304891392 is a wasteful number, since it uses less digits than its factorization.

78304891392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 78304891392 in words is "seventy-eight billion, three hundred four million, eight hundred ninety-one thousand, three hundred ninety-two".