82997680 has 20 divisors (see below), whose sum is σ = 192969792. Its totient is φ = 33199040.

The previous prime is 82997671. The next prime is 82997693. The reversal of 82997680 is 8679928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×82997680² = 13777229770764800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518656 + ... + 518815.

Almost surely, 2^82997680 is an apocalyptic number.

82997680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82997680 is an abundant number, since it is smaller than the sum of its proper divisors (109972112).

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

82997680 is a wasteful number, since it uses less digits than its factorization.

82997680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037484 (or 1037478 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 82997680 is about 9110.3062517129. The cubic root of 82997680 is about 436.2030028490.

The spelling of 82997680 in words is "eighty-two million, nine hundred ninety-seven thousand, six hundred eighty".