78755144832 has 512 divisors, whose sum is σ = 290187878400. Its totient is φ = 20472238080.

The previous prime is 78755144827. The next prime is 78755144851. The reversal of 78755144832 is 23844155787.

78755144832 is a `hidden beast` number, since 7 + 8 + 7 + 551 + 4 + 4 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22327453 + ... + 22330979.

It is an arithmetic number, because the mean of its divisors is an integer number (566773200).

Almost surely, 2^78755144832 is an apocalyptic number.

78755144832 is a gapful number since it is divisible by the number (72) 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 78755144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145093939200).

78755144832 is an abundant number, since it is smaller than the sum of its proper divisors (211432733568).

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

78755144832 is a wasteful number, since it uses less digits than its factorization.

78755144832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3623 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 78755144832 in words is "seventy-eight billion, seven hundred fifty-five million, one hundred forty-four thousand, eight hundred thirty-two".