78384046880 has 96 divisors (see below), whose sum is σ = 186392586240. Its totient is φ = 31149153280.

The previous prime is 78384046877. The next prime is 78384046919. The reversal of 78384046880 is 8864048387.

It is a super-2 number, since 2×78384046880² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 37557197 + ... + 37559283.

It is an arithmetic number, because the mean of its divisors is an integer number (1941589440).

Almost surely, 2^78384046880 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 78384046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93196293120).

78384046880 is an abundant number, since it is smaller than the sum of its proper divisors (108008539360).

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

78384046880 is a wasteful number, since it uses less digits than its factorization.

78384046880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 56.

The spelling of 78384046880 in words is "seventy-eight billion, three hundred eighty-four million, forty-six thousand, eight hundred eighty".