67125780 has 96 divisors (see below), whose sum is σ = 210228480. Its totient is φ = 17781120.

The previous prime is 67125769. The next prime is 67125787. The reversal of 67125780 is 8752176.

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 (67125787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106065 + ... + 106695.

It is an arithmetic number, because the mean of its divisors is an integer number (2189880).

Almost surely, 2^67125780 is an apocalyptic number.

67125780 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 67125780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105114240).

67125780 is an abundant number, since it is smaller than the sum of its proper divisors (143102700).

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

67125780 is a wasteful number, since it uses less digits than its factorization.

67125780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 67125780 is about 8193.0324056481. The cubic root of 67125780 is about 406.4088111245.

The spelling of 67125780 in words is "sixty-seven million, one hundred twenty-five thousand, seven hundred eighty".