82776672 has 288 divisors, whose sum is σ = 286584480. Its totient is φ = 22364160.

The previous prime is 82776667. The next prime is 82776703. The reversal of 82776672 is 27667728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (395136) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1561798 + ... + 1561850.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 2^82776672 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 82776672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143292240).

82776672 is an abundant number, since it is smaller than the sum of its proper divisors (203807808).

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

82776672 is a wasteful number, since it uses less digits than its factorization.

82776672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 82776672 is about 9098.1686069230. The cubic root of 82776672 is about 435.8154817791.

The spelling of 82776672 in words is "eighty-two million, seven hundred seventy-six thousand, six hundred seventy-two".