82657776 has 20 divisors (see below), whose sum is σ = 213532712. Its totient is φ = 27552576.

The previous prime is 82657759. The next prime is 82657777. The reversal of 82657776 is 67775628.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1722037 = 82657776 / (8 + 2 + 6 + 5 + 7 + 7 + 7 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82657777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 860971 + ... + 861066.

Almost surely, 2^82657776 is an apocalyptic number.

It is an amenable number.

82657776 is an abundant number, since it is smaller than the sum of its proper divisors (130874936).

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

82657776 is a wasteful number, since it uses less digits than its factorization.

82657776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722048 (or 1722042 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The square root of 82657776 is about 9091.6321966960. The cubic root of 82657776 is about 435.6067210860.

The spelling of 82657776 in words is "eighty-two million, six hundred fifty-seven thousand, seven hundred seventy-six".