67768800 has 288 divisors, whose sum is σ = 256483584. Its totient is φ = 15360000.

The previous prime is 67768751. The next prime is 67768819. The reversal of 67768800 is 886776.

It is a super-2 number, since 2×67768800² = 9185220506880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448725 + ... + 448875.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^67768800 is an apocalyptic number.

67768800 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 67768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128241792).

67768800 is an abundant number, since it is smaller than the sum of its proper divisors (188714784).

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

67768800 is a wasteful number, since it uses less digits than its factorization.

67768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 67768800 is about 8232.1807560330. The cubic root of 67768800 is about 407.7023973551.

It can be divided in two parts, 6776 and 8800, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 67768800 in words is "sixty-seven million, seven hundred sixty-eight thousand, eight hundred".