65740800 has 168 divisors, whose sum is σ = 219401136. Its totient is φ = 17367040.

The previous prime is 65740783. The next prime is 65740813. The reversal of 65740800 is 804756.

It is a happy number.

It is a super-3 number, since 3×65740800³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614347 + ... + 614453.

Almost surely, 2^65740800 is an apocalyptic number.

65740800 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 65740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109700568).

65740800 is an abundant number, since it is smaller than the sum of its proper divisors (153660336).

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

65740800 is a wasteful number, since it uses less digits than its factorization.

65740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 65740800 is about 8108.0700539648. The cubic root of 65740800 is about 403.5942729350.

The spelling of 65740800 in words is "sixty-five million, seven hundred forty thousand, eight hundred".