81875376 has 180 divisors, whose sum is σ = 260705536. Its totient is φ = 23950080.

The previous prime is 81875369. The next prime is 81875411. The reversal of 81875376 is 67357818.

81875376 = 370² + 371² + ... + 666².

Its product of digits (282240) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 644625 + ... + 644751.

Almost surely, 2^81875376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81875376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130352768).

81875376 is an abundant number, since it is smaller than the sum of its proper divisors (178830160).

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

81875376 is a wasteful number, since it uses less digits than its factorization.

81875376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 81875376 is about 9048.5013123721. The cubic root of 81875376 is about 434.2279448451.

The spelling of 81875376 in words is "eighty-one million, eight hundred seventy-five thousand, three hundred seventy-six".