67772880 has 360 divisors, whose sum is σ = 282818952. Its totient is φ = 14450688.

The previous prime is 67772879. The next prime is 67772921. The reversal of 67772880 is 8827776.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 66389904 = 1176^2 + 8148^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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, 599704 + ... + 599816.

Almost surely, 2^67772880 is an apocalyptic number.

67772880 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 67772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141409476).

67772880 is an abundant number, since it is smaller than the sum of its proper divisors (215046072).

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

67772880 is a wasteful number, since it uses less digits than its factorization.

67772880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

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

The square root of 67772880 is about 8232.4285602731. The cubic root of 67772880 is about 407.7105790572.

The spelling of 67772880 in words is "sixty-seven million, seven hundred seventy-two thousand, eight hundred eighty".