65882880 has 432 divisors, whose sum is σ = 280600320. Its totient is φ = 13934592.

The previous prime is 65882857. The next prime is 65882911. The reversal of 65882880 is 8828856.

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 47 ways as a sum of consecutive naturals, for example, 1532139 + ... + 1532181.

Almost surely, 2^65882880 is an apocalyptic number.

65882880 is a gapful number since it is divisible by the number (60) 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 65882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140300160).

65882880 is an abundant number, since it is smaller than the sum of its proper divisors (214717440).

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

65882880 is a wasteful number, since it uses less digits than its factorization.

65882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 65882880 is about 8116.8269662473. The cubic root of 65882880 is about 403.8848150533.

It can be divided in two parts, 658 and 82880, that added together give a palindrome (83538).

The spelling of 65882880 in words is "sixty-five million, eight hundred eighty-two thousand, eight hundred eighty".