82694880 has 72 divisors (see below), whose sum is σ = 282201192. Its totient is φ = 22051584.

The previous prime is 82694879. The next prime is 82694917. The reversal of 82694880 is 8849628.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27274 + ... + 30153.

It is an arithmetic number, because the mean of its divisors is an integer number (3919461).

Almost surely, 2^82694880 is an apocalyptic number.

82694880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82694880 is an abundant number, since it is smaller than the sum of its proper divisors (199506312).

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

82694880 is a wasteful number, since it uses less digits than its factorization.

82694880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57448 (or 57437 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 82694880 is about 9093.6725254432. The cubic root of 82694880 is about 435.6718907318.

The spelling of 82694880 in words is "eighty-two million, six hundred ninety-four thousand, eight hundred eighty".