82787760 has 120 divisors (see below), whose sum is σ = 303333264. Its totient is φ = 20067840.

The previous prime is 82787753. The next prime is 82787777. The reversal of 82787760 is 6778728.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 2694 + ... + 13146.

Almost surely, 2^82787760 is an apocalyptic number.

82787760 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 82787760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151666632).

82787760 is an abundant number, since it is smaller than the sum of its proper divisors (220545504).

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

82787760 is a wasteful number, since it uses less digits than its factorization.

82787760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10483 (or 10474 counting only the distinct ones).

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

The square root of 82787760 is about 9098.7779399214. Note that the first 3 decimals coincide. The cubic root of 82787760 is about 435.8349401853.

The spelling of 82787760 in words is "eighty-two million, seven hundred eighty-seven thousand, seven hundred sixty".