82749456 has 60 divisors (see below), whose sum is σ = 232838892. Its totient is φ = 27433728.

The previous prime is 82749449. The next prime is 82749461. The reversal of 82749456 is 65494728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82083600 + 665856 = 9060^2 + 816^2 .

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 11 ways as a sum of consecutive naturals, for example, 26910 + ... + 29826.

Almost surely, 2^82749456 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 82749456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116419446).

82749456 is an abundant number, since it is smaller than the sum of its proper divisors (150089436).

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

82749456 is a wasteful number, since it uses less digits than its factorization.

82749456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3119 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 82749456 is about 9096.6727983368. The cubic root of 82749456 is about 435.7677128685.

The spelling of 82749456 in words is "eighty-two million, seven hundred forty-nine thousand, four hundred fifty-six".