78905100 has 144 divisors (see below), whose sum is σ = 244428800. Its totient is φ = 19595520.

The previous prime is 78905089. The next prime is 78905131. The reversal of 78905100 is 150987.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621237 + ... + 621363.

Almost surely, 2^78905100 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 78905100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122214400).

78905100 is an abundant number, since it is smaller than the sum of its proper divisors (165523700).

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

78905100 is a wasteful number, since it uses less digits than its factorization.

78905100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 78905100 is about 8882.8542710100. The cubic root of 78905100 is about 428.9121591931.

The spelling of 78905100 in words is "seventy-eight million, nine hundred five thousand, one hundred".