82237680 has 400 divisors, whose sum is σ = 342091200. Its totient is φ = 18289152.

The previous prime is 82237669. The next prime is 82237693. The reversal of 82237680 is 8673228.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2222622 + ... + 2222658.

It is an arithmetic number, because the mean of its divisors is an integer number (855228).

Almost surely, 2^82237680 is an apocalyptic number.

82237680 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 82237680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171045600).

82237680 is an abundant number, since it is smaller than the sum of its proper divisors (259853520).

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

82237680 is a wasteful number, since it uses less digits than its factorization.

82237680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82237680 is about 9068.4993245851. The cubic root of 82237680 is about 434.8674982883.

The spelling of 82237680 in words is "eighty-two million, two hundred thirty-seven thousand, six hundred eighty".