82874880 has 320 divisors, whose sum is σ = 324086400. Its totient is φ = 19906560.

The previous prime is 82874879. The next prime is 82874893. The reversal of 82874880 is 8847828.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 760266 + ... + 760374.

It is an arithmetic number, because the mean of its divisors is an integer number (1012770).

Almost surely, 2^82874880 is an apocalyptic number.

82874880 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 82874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162043200).

82874880 is an abundant number, since it is smaller than the sum of its proper divisors (241211520).

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

82874880 is a wasteful number, since it uses less digits than its factorization.

82874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 82874880 is about 9103.5641371937. The cubic root of 82874880 is about 435.9877672409.

It can be divided in two parts, 828748 and 80, that added together give a palindrome (828828).

The spelling of 82874880 in words is "eighty-two million, eight hundred seventy-four thousand, eight hundred eighty".