82877760 has 168 divisors, whose sum is σ = 325867776. Its totient is φ = 18938880.

The previous prime is 82877759. The next prime is 82877761. The reversal of 82877760 is 6777828.

It is an interprime number because it is at equal distance from previous prime (82877759) and next prime (82877761).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82877761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18105 + ... + 22215.

Almost surely, 2^82877760 is an apocalyptic number.

82877760 is a gapful number since it is divisible by the number (80) 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 82877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162933888).

82877760 is an abundant number, since it is smaller than the sum of its proper divisors (242990016).

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

82877760 is a wasteful number, since it uses less digits than its factorization.

82877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 82877760 is about 9103.7223156245. The cubic root of 82877760 is about 435.9928175457.

The spelling of 82877760 in words is "eighty-two million, eight hundred seventy-seven thousand, seven hundred sixty".