78870274560 has 1920 divisors, whose sum is σ = 372817209600. Its totient is φ = 15606743040.

The previous prime is 78870274543. The next prime is 78870274597. The reversal of 78870274560 is 6547207887.

It is a happy number.

78870274560 is a `hidden beast` number, since 7 + 8 + 8 + 7 + 0 + 2 + 74 + 560 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 78870274497 and 78870274506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1080414684 + ... + 1080414756.

It is an arithmetic number, because the mean of its divisors is an integer number (194175630).

Almost surely, 2^78870274560 is an apocalyptic number.

78870274560 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 78870274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186408604800).

78870274560 is an abundant number, since it is smaller than the sum of its proper divisors (293946935040).

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

78870274560 is a wasteful number, since it uses less digits than its factorization.

78870274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 78870274560 in words is "seventy-eight billion, eight hundred seventy million, two hundred seventy-four thousand, five hundred sixty".