67780440 has 192 divisors, whose sum is σ = 271252800. Its totient is φ = 14294016.

The previous prime is 67780423. The next prime is 67780469. The reversal of 67780440 is 4408776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67780395 and 67780404.

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, 31726 + ... + 33794.

It is an arithmetic number, because the mean of its divisors is an integer number (1412775).

Almost surely, 2^67780440 is an apocalyptic number.

67780440 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 67780440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135626400).

67780440 is an abundant number, since it is smaller than the sum of its proper divisors (203472360).

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

67780440 is a wasteful number, since it uses less digits than its factorization.

67780440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 67780440 is about 8232.8877072386. The cubic root of 67780440 is about 407.7257384020.

The spelling of 67780440 in words is "sixty-seven million, seven hundred eighty thousand, four hundred forty".