83375820 has 144 divisors (see below), whose sum is σ = 292245408. Its totient is φ = 19015680.

The previous prime is 83375801. The next prime is 83375843. The reversal of 83375820 is 2857338.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32422 + ... + 34898.

It is an arithmetic number, because the mean of its divisors is an integer number (2029482).

Almost surely, 2^83375820 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 83375820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146122704).

83375820 is an abundant number, since it is smaller than the sum of its proper divisors (208869588).

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

83375820 is a wasteful number, since it uses less digits than its factorization.

83375820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83375820 is about 9131.0360857900. The cubic root of 83375820 is about 436.8644508004.

The spelling of 83375820 in words is "eighty-three million, three hundred seventy-five thousand, eight hundred twenty".