82826880 has 128 divisors (see below), whose sum is σ = 266587200. Its totient is φ = 21872640.

The previous prime is 82826857. The next prime is 82826897. The reversal of 82826880 is 8862828.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343560 + ... + 343800.

Almost surely, 2^82826880 is an apocalyptic number.

82826880 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 82826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133293600).

82826880 is an abundant number, since it is smaller than the sum of its proper divisors (183760320).

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

82826880 is a wasteful number, since it uses less digits than its factorization.

82826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 82826880 is about 9100.9274252683. The cubic root of 82826880 is about 435.9035782626.

The spelling of 82826880 in words is "eighty-two million, eight hundred twenty-six thousand, eight hundred eighty".