78955388928 has 504 divisors, whose sum is σ = 257315264388. Its totient is φ = 24078974976.

The previous prime is 78955388909. The next prime is 78955388957. The reversal of 78955388928 is 82988355987.

78955388928 is a `hidden beast` number, since 7 + 8 + 9 + 5 + 538 + 89 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59364347904 + 19591041024 = 243648^2 + 139968^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698720200 + ... + 698720312.

Almost surely, 2^78955388928 is an apocalyptic number.

78955388928 is a gapful number since it is divisible by the number (78) 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 78955388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128657632194).

78955388928 is an abundant number, since it is smaller than the sum of its proper divisors (178359875460).

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

78955388928 is an frugal number, since it uses more digits than its factorization.

78955388928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 131 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 72.

The spelling of 78955388928 in words is "seventy-eight billion, nine hundred fifty-five million, three hundred eighty-eight thousand, nine hundred twenty-eight".