82862720 has 64 divisors (see below), whose sum is σ = 202767840. Its totient is φ = 32363520.

The previous prime is 82862701. The next prime is 82862729. The reversal of 82862720 is 2726828.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (82862729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26015 + ... + 29025.

Almost surely, 2^82862720 is an apocalyptic number.

82862720 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 82862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101383920).

82862720 is an abundant number, since it is smaller than the sum of its proper divisors (119905120).

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

82862720 is a wasteful number, since it uses less digits than its factorization.

82862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 82862720 is about 9102.8962424055. The cubic root of 82862720 is about 435.9664424415.

The spelling of 82862720 in words is "eighty-two million, eight hundred sixty-two thousand, seven hundred twenty".