83257720 has 128 divisors (see below), whose sum is σ = 234057600. Its totient is φ = 25952256.

The previous prime is 83257709. The next prime is 83257729. The reversal of 83257720 is 2775238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83257729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323832 + ... + 324088.

It is an arithmetic number, because the mean of its divisors is an integer number (1828575).

Almost surely, 2^83257720 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 83257720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117028800).

83257720 is an abundant number, since it is smaller than the sum of its proper divisors (150799880).

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

83257720 is a wasteful number, since it uses less digits than its factorization.

83257720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 83257720 is about 9124.5668390341. The cubic root of 83257720 is about 436.6580837295.

The spelling of 83257720 in words is "eighty-three million, two hundred fifty-seven thousand, seven hundred twenty".