83378900 has 72 divisors (see below), whose sum is σ = 198841440. Its totient is φ = 30096000.

The previous prime is 83378899. The next prime is 83378909. The reversal of 83378900 is 987338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83378909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251735 + ... + 252065.

Almost surely, 2^83378900 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 83378900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99420720).

83378900 is an abundant number, since it is smaller than the sum of its proper divisors (115462540).

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

83378900 is a wasteful number, since it uses less digits than its factorization.

83378900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 83378900 is about 9131.2047397920. The cubic root of 83378900 is about 436.8698301616.

The spelling of 83378900 in words is "eighty-three million, three hundred seventy-eight thousand, nine hundred".