65766880 has 48 divisors (see below), whose sum is σ = 164520720. Its totient is φ = 24758272.

The previous prime is 65766853. The next prime is 65766881. The reversal of 65766880 is 8866756.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 65766880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65766881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9370 + ... + 14809.

It is an arithmetic number, because the mean of its divisors is an integer number (3427515).

Almost surely, 2^65766880 is an apocalyptic number.

It is an amenable number.

65766880 is an abundant number, since it is smaller than the sum of its proper divisors (98753840).

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

65766880 is a wasteful number, since it uses less digits than its factorization.

65766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24211 (or 24203 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 65766880 is about 8109.6781687068. The cubic root of 65766880 is about 403.6476357734.

It can be divided in two parts, 6576 and 6880, that added together give a square (13456 = 116²).

The spelling of 65766880 in words is "sixty-five million, seven hundred sixty-six thousand, eight hundred eighty".