81877824 has 168 divisors, whose sum is σ = 280294080. Its totient is φ = 23369472.

The previous prime is 81877823. The next prime is 81877841. The reversal of 81877824 is 42877818.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 81877824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81877823) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 84189 + ... + 85155.

Almost surely, 2^81877824 is an apocalyptic number.

81877824 is a gapful number since it is divisible by the number (84) 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 81877824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147040).

81877824 is an abundant number, since it is smaller than the sum of its proper divisors (198416256).

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

81877824 is a wasteful number, since it uses less digits than its factorization.

81877824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 979 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 81877824 is about 9048.6365823808. The cubic root of 81877824 is about 434.2322724768.

The spelling of 81877824 in words is "eighty-one million, eight hundred seventy-seven thousand, eight hundred twenty-four".