66079800 has 120 divisors (see below), whose sum is σ = 229561200. Its totient is φ = 17616960.

The previous prime is 66079789. The next prime is 66079807. The reversal of 66079800 is 897066.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66079807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14161 + ... + 18239.

It is an arithmetic number, because the mean of its divisors is an integer number (1913010).

Almost surely, 2^66079800 is an apocalyptic number.

66079800 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 66079800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114780600).

66079800 is an abundant number, since it is smaller than the sum of its proper divisors (163481400).

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

66079800 is a wasteful number, since it uses less digits than its factorization.

66079800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 66079800 is about 8128.9482714555. The cubic root of 66079800 is about 404.2868106820.

The spelling of 66079800 in words is "sixty-six million, seventy-nine thousand, eight hundred".