78100560 has 120 divisors (see below), whose sum is σ = 266366880. Its totient is φ = 20503296.

The previous prime is 78100543. The next prime is 78100577. The reversal of 78100560 is 6500187.

It is an interprime number because it is at equal distance from previous prime (78100543) and next prime (78100577).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47431 + ... + 49049.

It is an arithmetic number, because the mean of its divisors is an integer number (2219724).

Almost surely, 2^78100560 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 78100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

78100560 is an abundant number, since it is smaller than the sum of its proper divisors (188266320).

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

78100560 is a wasteful number, since it uses less digits than its factorization.

78100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 78100560 is about 8837.4521215110. The cubic root of 78100560 is about 427.4494040870.

The spelling of 78100560 in words is "seventy-eight million, one hundred thousand, five hundred sixty".