78987832560 has 640 divisors, whose sum is σ = 336398469120. Its totient is φ = 16588800000.

The previous prime is 78987832549. The next prime is 78987832613. The reversal of 78987832560 is 6523878987.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49335760 + ... + 49337360.

It is an arithmetic number, because the mean of its divisors is an integer number (525622608).

Almost surely, 2^78987832560 is an apocalyptic number.

78987832560 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 78987832560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168199234560).

78987832560 is an abundant number, since it is smaller than the sum of its proper divisors (257410636560).

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

78987832560 is a wasteful number, since it uses less digits than its factorization.

78987832560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 78987832560 in words is "seventy-eight billion, nine hundred eighty-seven million, eight hundred thirty-two thousand, five hundred sixty".