83720700 has 216 divisors, whose sum is σ = 305209632. Its totient is φ = 18800640.

The previous prime is 83720687. The next prime is 83720701. The reversal of 83720700 is 702738.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83720701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 611032 + ... + 611168.

Almost surely, 2^83720700 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 83720700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152604816).

83720700 is an abundant number, since it is smaller than the sum of its proper divisors (221488932).

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

83720700 is a wasteful number, since it uses less digits than its factorization.

83720700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 83720700 is about 9149.9016388156. The cubic root of 83720700 is about 437.4659783068.

The spelling of 83720700 in words is "eighty-three million, seven hundred twenty thousand, seven hundred".