78111900 has 108 divisors (see below), whose sum is σ = 246555400. Its totient is φ = 20684160.

The previous prime is 78111899. The next prime is 78111911. The reversal of 78111900 is 911187.

It is a super-2 number, since 2×78111900² = 12202937843220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205911 + ... + 206289.

Almost surely, 2^78111900 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 78111900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123277700).

78111900 is an abundant number, since it is smaller than the sum of its proper divisors (168443500).

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

78111900 is a wasteful number, since it uses less digits than its factorization.

78111900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 78111900 is about 8838.0936858578. The cubic root of 78111900 is about 427.4700912696.

The spelling of 78111900 in words is "seventy-eight million, one hundred eleven thousand, nine hundred".