82761360 has 320 divisors, whose sum is σ = 308551680. Its totient is φ = 18135040.

The previous prime is 82761317. The next prime is 82761377. The reversal of 82761360 is 6316728.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1760857 + ... + 1760903.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^82761360 is an apocalyptic number.

82761360 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 82761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

82761360 is an abundant number, since it is smaller than the sum of its proper divisors (225790320).

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

82761360 is a wasteful number, since it uses less digits than its factorization.

82761360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 82761360 is about 9097.3270799724. The cubic root of 82761360 is about 435.7886077899.

The spelling of 82761360 in words is "eighty-two million, seven hundred sixty-one thousand, three hundred sixty".