82250784 has 144 divisors (see below), whose sum is σ = 291695040. Its totient is φ = 21358080.

The previous prime is 82250723. The next prime is 82250789. The reversal of 82250784 is 48705228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×82250784² = 13530382937229312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82250789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20322 + ... + 24030.

It is an arithmetic number, because the mean of its divisors is an integer number (2025660).

Almost surely, 2^82250784 is an apocalyptic number.

82250784 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 82250784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145847520).

82250784 is an abundant number, since it is smaller than the sum of its proper divisors (209444256).

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

82250784 is a wasteful number, since it uses less digits than its factorization.

82250784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82250784 is about 9069.2217968247. The cubic root of 82250784 is about 434.8905947613.

The spelling of 82250784 in words is "eighty-two million, two hundred fifty thousand, seven hundred eighty-four".