67772820 has 96 divisors (see below), whose sum is σ = 198696960. Its totient is φ = 17239680.

The previous prime is 67772819. The next prime is 67772827. The reversal of 67772820 is 2827776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67772827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154161 + ... + 154599.

It is an arithmetic number, because the mean of its divisors is an integer number (2069760).

Almost surely, 2^67772820 is an apocalyptic number.

67772820 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 67772820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99348480).

67772820 is an abundant number, since it is smaller than the sum of its proper divisors (130924140).

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

67772820 is a wasteful number, since it uses less digits than its factorization.

67772820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 67772820 is about 8232.4249161471. The cubic root of 67772820 is about 407.7104587404.

The spelling of 67772820 in words is "sixty-seven million, seven hundred seventy-two thousand, eight hundred twenty".