82744704 has 192 divisors, whose sum is σ = 281748480. Its totient is φ = 22809600.

The previous prime is 82744687. The next prime is 82744723. The reversal of 82744704 is 40744728.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249819 + ... + 250149.

It is an arithmetic number, because the mean of its divisors is an integer number (1467440).

Almost surely, 2^82744704 is an apocalyptic number.

82744704 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 82744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140874240).

82744704 is an abundant number, since it is smaller than the sum of its proper divisors (199003776).

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

82744704 is a wasteful number, since it uses less digits than its factorization.

82744704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 82744704 is about 9096.4116001861. The cubic root of 82744704 is about 435.7593711911.

The spelling of 82744704 in words is "eighty-two million, seven hundred forty-four thousand, seven hundred four".