78274839680 has 128 divisors (see below), whose sum is σ = 188401507200. Its totient is φ = 31097364480.

The previous prime is 78274839679. The next prime is 78274839689. The reversal of 78274839680 is 8693847287.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×78274839680² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78274839689) 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 15 ways as a sum of consecutive naturals, for example, 75920765 + ... + 75921795.

It is an arithmetic number, because the mean of its divisors is an integer number (1471886775).

Almost surely, 2^78274839680 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 78274839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94200753600).

78274839680 is an abundant number, since it is smaller than the sum of its proper divisors (110126667520).

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

78274839680 is a wasteful number, since it uses less digits than its factorization.

78274839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 62.

The spelling of 78274839680 in words is "seventy-eight billion, two hundred seventy-four million, eight hundred thirty-nine thousand, six hundred eighty".