83082720 has 192 divisors, whose sum is σ = 303851520. Its totient is φ = 18690048.

The previous prime is 83082719. The next prime is 83082721. The reversal of 83082720 is 2728038.

It is an interprime number because it is at equal distance from previous prime (83082719) and next prime (83082721).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83082721) 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, 265284 + ... + 265596.

It is an arithmetic number, because the mean of its divisors is an integer number (1582560).

Almost surely, 2^83082720 is an apocalyptic number.

83082720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151925760).

83082720 is an abundant number, since it is smaller than the sum of its proper divisors (220768800).

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

83082720 is a wasteful number, since it uses less digits than its factorization.

83082720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 83082720 is about 9114.9722983671. The cubic root of 83082720 is about 436.3519308729.

The spelling of 83082720 in words is "eighty-three million, eighty-two thousand, seven hundred twenty".