65507700 has 72 divisors (see below), whose sum is σ = 192800160. Its totient is φ = 17168000.

The previous prime is 65507699. The next prime is 65507713. The reversal of 65507700 is 770556.

It is a super-3 number, since 3×65507700³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15850 + ... + 19550.

It is an arithmetic number, because the mean of its divisors is an integer number (2677780).

Almost surely, 2^65507700 is an apocalyptic number.

65507700 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 65507700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96400080).

65507700 is an abundant number, since it is smaller than the sum of its proper divisors (127292460).

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

65507700 is a wasteful number, since it uses less digits than its factorization.

65507700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 65507700 is about 8093.6827217281. The cubic root of 65507700 is about 403.1166941381.

The spelling of 65507700 in words is "sixty-five million, five hundred seven thousand, seven hundred".