82902080 has 56 divisors (see below), whose sum is σ = 200802240. Its totient is φ = 32591360.

The previous prime is 82902059. The next prime is 82902101. The reversal of 82902080 is 8020928.

It is an interprime number because it is at equal distance from previous prime (82902059) and next prime (82902101).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16685 + ... + 21075.

Almost surely, 2^82902080 is an apocalyptic number.

82902080 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 82902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100401120).

82902080 is an abundant number, since it is smaller than the sum of its proper divisors (117900160).

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

82902080 is a wasteful number, since it uses less digits than its factorization.

82902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 82902080 is about 9105.0579350161. The cubic root of 82902080 is about 436.0354598997.

The spelling of 82902080 in words is "eighty-two million, nine hundred two thousand, eighty".