78271764480 has 1920 divisors, whose sum is σ = 371597466240. Its totient is φ = 15288238080.

The previous prime is 78271764457. The next prime is 78271764521. The reversal of 78271764480 is 8446717287.

78271764480 is a `hidden beast` number, since 7 + 8 + 27 + 176 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×78271764480² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1283143650 + ... + 1283143710.

It is an arithmetic number, because the mean of its divisors is an integer number (193540347).

Almost surely, 2^78271764480 is an apocalyptic number.

78271764480 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 78271764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185798733120).

78271764480 is an abundant number, since it is smaller than the sum of its proper divisors (293325701760).

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

78271764480 is a wasteful number, since it uses less digits than its factorization.

78271764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 78271764480 in words is "seventy-eight billion, two hundred seventy-one million, seven hundred sixty-four thousand, four hundred eighty".