82046880 has 144 divisors (see below), whose sum is σ = 282338784. Its totient is φ = 21696000.

The previous prime is 82046873. The next prime is 82046897. The reversal of 82046880 is 8864028.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 326755 + ... + 327005.

It is an arithmetic number, because the mean of its divisors is an integer number (1960686).

Almost surely, 2^82046880 is an apocalyptic number.

82046880 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 82046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

82046880 is an abundant number, since it is smaller than the sum of its proper divisors (200291904).

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

82046880 is a wasteful number, since it uses less digits than its factorization.

82046880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82046880 is about 9057.9732832461. The cubic root of 82046880 is about 434.5309251993.

The spelling of 82046880 in words is "eighty-two million, forty-six thousand, eight hundred eighty".