65977680 has 160 divisors (see below), whose sum is σ = 220057344. Its totient is φ = 16293888.

The previous prime is 65977679. The next prime is 65977729. The reversal of 65977680 is 8677956.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420162 + ... + 420318.

Almost surely, 2^65977680 is an apocalyptic number.

65977680 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 65977680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110028672).

65977680 is an abundant number, since it is smaller than the sum of its proper divisors (154079664).

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

65977680 is a wasteful number, since it uses less digits than its factorization.

65977680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 65977680 is about 8122.6645874368. The cubic root of 65977680 is about 404.0784411293.

The spelling of 65977680 in words is "sixty-five million, nine hundred seventy-seven thousand, six hundred eighty".