78903977328 has 240 divisors, whose sum is σ = 255205392000. Its totient is φ = 22506232320.

The previous prime is 78903977323. The next prime is 78903977333. The reversal of 78903977328 is 82377930987.

78903977328 is a `hidden beast` number, since 78 + 90 + 397 + 73 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (78903977323) and next prime (78903977333).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78903977323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4716723 + ... + 4733421.

It is an arithmetic number, because the mean of its divisors is an integer number (1063355800).

Almost surely, 2^78903977328 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 78903977328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127602696000).

78903977328 is an abundant number, since it is smaller than the sum of its proper divisors (176301414672).

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

78903977328 is a wasteful number, since it uses less digits than its factorization.

78903977328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16900 (or 16891 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 78903977328 in words is "seventy-eight billion, nine hundred three million, nine hundred seventy-seven thousand, three hundred twenty-eight".