76668900 has 144 divisors (see below), whose sum is σ = 276648960. Its totient is φ = 15926400.

The previous prime is 76668877. The next prime is 76668901. The reversal of 76668900 is 986667.

It is a happy number.

76668900 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

76668900 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (76668901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21441 + ... + 24759.

Almost surely, 2^76668900 is an apocalyptic number.

76668900 is a gapful number since it is divisible by the number (70) 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 76668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138324480).

76668900 is an abundant number, since it is smaller than the sum of its proper divisors (199980060).

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

76668900 is a wasteful number, since it uses less digits than its factorization.

76668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 76668900 is about 8756.0778891008. The cubic root of 76668900 is about 424.8214244003.

The spelling of 76668900 in words is "seventy-six million, six hundred sixty-eight thousand, nine hundred".