67788900 has 90 divisors (see below), whose sum is σ = 219771090. Its totient is φ = 18074880.

The previous prime is 67788881. The next prime is 67788907. The reversal of 67788900 is 988776.

It can be written as a sum of positive squares in 3 ways, for example, as 8714304 + 59074596 = 2952^2 + 7686^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (67788907) 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, 3916 + ... + 12284.

It is an arithmetic number, because the mean of its divisors is an integer number (2441901).

Almost surely, 2^67788900 is an apocalyptic number.

67788900 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 67788900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109885545).

67788900 is an abundant number, since it is smaller than the sum of its proper divisors (151982190).

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

67788900 is a wasteful number, since it uses less digits than its factorization.

67788900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 67788900 is about 8233.4014841984. The cubic root of 67788900 is about 407.7427010943.

The spelling of 67788900 in words is "sixty-seven million, seven hundred eighty-eight thousand, nine hundred".