67794300 has 288 divisors, whose sum is σ = 264983040. Its totient is φ = 14515200.

The previous prime is 67794289. The next prime is 67794301. The reversal of 67794300 is 349776.

It is a super-2 number, since 2×67794300² = 9192134224980000, which contains 22 as substring.

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 (67794301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321195 + ... + 321405.

It is an arithmetic number, because the mean of its divisors is an integer number (920080).

Almost surely, 2^67794300 is an apocalyptic number.

67794300 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 67794300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132491520).

67794300 is an abundant number, since it is smaller than the sum of its proper divisors (197188740).

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

67794300 is a wasteful number, since it uses less digits than its factorization.

67794300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 67794300 is about 8233.7294101762. The cubic root of 67794300 is about 407.7535276068.

The spelling of 67794300 in words is "sixty-seven million, seven hundred ninety-four thousand, three hundred".