78310048320 has 280 divisors, whose sum is σ = 318358016064. Its totient is φ = 17899398144.

The previous prime is 78310048319. The next prime is 78310048337. The reversal of 78310048320 is 2384001387.

78310048320 is a `hidden beast` number, since 78 + 3 + 100 + 483 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×78310048320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 34362 + ... + 397241.

Almost surely, 2^78310048320 is an apocalyptic number.

78310048320 is a gapful number since it is divisible by the number (70) 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 78310048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159179008032).

78310048320 is an abundant number, since it is smaller than the sum of its proper divisors (240047967744).

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

78310048320 is a wasteful number, since it uses less digits than its factorization.

78310048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431639 (or 431620 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 78310048320 in words is "seventy-eight billion, three hundred ten million, forty-eight thousand, three hundred twenty".