78992900 has 108 divisors (see below), whose sum is σ = 204236928. Its totient is φ = 26507040.

The previous prime is 78992887. The next prime is 78992909. The reversal of 78992900 is 929987.

It is not an unprimeable number, because it can be changed into a prime (78992909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1680677 + ... + 1680723.

Almost surely, 2^78992900 is an apocalyptic number.

78992900 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 78992900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102118464).

78992900 is an abundant number, since it is smaller than the sum of its proper divisors (125244028).

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

78992900 is an equidigital number, since it uses as much as digits as its factorization.

78992900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The square root of 78992900 is about 8887.7950021364. The cubic root of 78992900 is about 429.0711879010.

The spelling of 78992900 in words is "seventy-eight million, nine hundred ninety-two thousand, nine hundred".