78100680 has 128 divisors (see below), whose sum is σ = 270547200. Its totient is φ = 17667072.

The previous prime is 78100661. The next prime is 78100681. The reversal of 78100680 is 8600187.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (78100681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 91134 + ... + 91986.

It is an arithmetic number, because the mean of its divisors is an integer number (2113650).

Almost surely, 2^78100680 is an apocalyptic number.

78100680 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 78100680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135273600).

78100680 is an abundant number, since it is smaller than the sum of its proper divisors (192446520).

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

78100680 is a wasteful number, since it uses less digits than its factorization.

78100680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 78100680 is about 8837.4589107956. The cubic root of 78100680 is about 427.4496230094.

The spelling of 78100680 in words is "seventy-eight million, one hundred thousand, six hundred eighty".