67800900 has 72 divisors (see below), whose sum is σ = 197355424. Its totient is φ = 17971200.

The previous prime is 67800893. The next prime is 67800907. The reversal of 67800900 is 900876.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67800893) and next prime (67800907).

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

It is not an unprimeable number, because it can be changed into a prime (67800907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57315 + ... + 58485.

Almost surely, 2^67800900 is an apocalyptic number.

67800900 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 67800900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98677712).

67800900 is an abundant number, since it is smaller than the sum of its proper divisors (129554524).

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

67800900 is a wasteful number, since it uses less digits than its factorization.

67800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 67800900 is about 8234.1301908580. The cubic root of 67800900 is about 407.7667592303.

The spelling of 67800900 in words is "sixty-seven million, eight hundred thousand, nine hundred".