67677720 has 192 divisors, whose sum is σ = 229824000. Its totient is φ = 15924480.

The previous prime is 67677719. The next prime is 67677721. The reversal of 67677720 is 2777676.

It is an interprime number because it is at equal distance from previous prime (67677719) and next prime (67677721).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67677721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856641 + ... + 856719.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 2^67677720 is an apocalyptic number.

67677720 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 67677720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

67677720 is an abundant number, since it is smaller than the sum of its proper divisors (162146280).

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

67677720 is a wasteful number, since it uses less digits than its factorization.

67677720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 42.

The square root of 67677720 is about 8226.6469475723. The cubic root of 67677720 is about 407.5196673359.

The spelling of 67677720 in words is "sixty-seven million, six hundred seventy-seven thousand, seven hundred twenty".