78872100 has 72 divisors (see below), whose sum is σ = 229256160. Its totient is φ = 20935680.

The previous prime is 78872077. The next prime is 78872117. The reversal of 78872100 is 127887.

78872100 = T₂₁₉ + T₂₂₀ + ... + T₇₈₄.

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, 84436 + ... + 85364.

Almost surely, 2^78872100 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 78872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114628080).

78872100 is an abundant number, since it is smaller than the sum of its proper divisors (150384060).

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

78872100 is a wasteful number, since it uses less digits than its factorization.

78872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 78872100 is about 8880.9965657014. The cubic root of 78872100 is about 428.8523570810.

Adding to 78872100 its reverse (127887), we get a palindrome (78999987).

The spelling of 78872100 in words is "seventy-eight million, eight hundred seventy-two thousand, one hundred".