82374880 has 192 divisors, whose sum is σ = 241920000. Its totient is φ = 26417664.

The previous prime is 82374871. The next prime is 82374883. The reversal of 82374880 is 8847328.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82374883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042681 + ... + 1042759.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 2^82374880 is an apocalyptic number.

82374880 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 82374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

82374880 is an abundant number, since it is smaller than the sum of its proper divisors (159545120).

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

82374880 is a wasteful number, since it uses less digits than its factorization.

82374880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 82374880 is about 9076.0608195406. The cubic root of 82374880 is about 435.1091988151.

The spelling of 82374880 in words is "eighty-two million, three hundred seventy-four thousand, eight hundred eighty".