78888100 has 72 divisors (see below), whose sum is σ = 178488576. Its totient is φ = 30240000.

The previous prime is 78888077. The next prime is 78888119. The reversal of 78888100 is 188887.

It is a super-2 number, since 2×78888100² = 12446664643220000, which contains 22 as substring.

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, 290965 + ... + 291235.

It is an arithmetic number, because the mean of its divisors is an integer number (2479008).

Almost surely, 2^78888100 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 78888100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89244288).

78888100 is an abundant number, since it is smaller than the sum of its proper divisors (99600476).

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

78888100 is a wasteful number, since it uses less digits than its factorization.

78888100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The square root of 78888100 is about 8881.8973198298. The cubic root of 78888100 is about 428.8813541272.

It can be divided in two parts, 788 and 88100, that added together give a palindrome (88888).

The spelling of 78888100 in words is "seventy-eight million, eight hundred eighty-eight thousand, one hundred".