65678800 has 180 divisors, whose sum is σ = 184050720. Its totient is φ = 22457600.

The previous prime is 65678791. The next prime is 65678807. The reversal of 65678800 is 887656.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65678807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1113171 + ... + 1113229.

It is an arithmetic number, because the mean of its divisors is an integer number (1022504).

Almost surely, 2^65678800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025360).

65678800 is an abundant number, since it is smaller than the sum of its proper divisors (118371920).

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

65678800 is a wasteful number, since it uses less digits than its factorization.

65678800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 65678800 is about 8104.2458008133. The cubic root of 65678800 is about 403.4673567461.

The spelling of 65678800 in words is "sixty-five million, six hundred seventy-eight thousand, eight hundred".