83709700 has 72 divisors (see below), whose sum is σ = 197190504. Its totient is φ = 30720000.

The previous prime is 83709653. The next prime is 83709727. The reversal of 83709700 is 790738.

It can be written as a sum of positive squares in 12 ways, for example, as 62346816 + 21362884 = 7896^2 + 4622^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 69100 + ... + 70300.

It is an arithmetic number, because the mean of its divisors is an integer number (2738757).

Almost surely, 2^83709700 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 83709700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98595252).

83709700 is an abundant number, since it is smaller than the sum of its proper divisors (113480804).

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

83709700 is a wasteful number, since it uses less digits than its factorization.

83709700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 83709700 is about 9149.3005197119. The cubic root of 83709700 is about 437.4468180253.

The spelling of 83709700 in words is "eighty-three million, seven hundred nine thousand, seven hundred".