67878720 has 504 divisors, whose sum is σ = 300389544. Its totient is φ = 13934592.

The previous prime is 67878719. The next prime is 67878731. The reversal of 67878720 is 2787876.

It can be written as a sum of positive squares in 4 ways, for example, as 8156736 + 59721984 = 2856^2 + 7728^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834542 + ... + 1834578.

It is an arithmetic number, because the mean of its divisors is an integer number (596011).

Almost surely, 2^67878720 is an apocalyptic number.

67878720 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 67878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150194772).

67878720 is an abundant number, since it is smaller than the sum of its proper divisors (232510824).

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

67878720 is a wasteful number, since it uses less digits than its factorization.

67878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 67878720 is about 8238.8542892808. The cubic root of 67878720 is about 407.9227073884.

The spelling of 67878720 in words is "sixty-seven million, eight hundred seventy-eight thousand, seven hundred twenty".