78965900 has 144 divisors (see below), whose sum is σ = 204153600. Its totient is φ = 26231040.

The previous prime is 78965891. The next prime is 78965911. The reversal of 78965900 is 956987.

It is a super-2 number, since 2×78965900² = 12471226725620000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568031 + ... + 568169.

Almost surely, 2^78965900 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 78965900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102076800).

78965900 is an abundant number, since it is smaller than the sum of its proper divisors (125187700).

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

78965900 is a wasteful number, since it uses less digits than its factorization.

78965900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 78965900 is about 8886.2759353961. The cubic root of 78965900 is about 429.0222964089.

The spelling of 78965900 in words is "seventy-eight million, nine hundred sixty-five thousand, nine hundred".