67799680 has 128 divisors (see below), whose sum is σ = 181213200. Its totient is φ = 24084480.

The previous prime is 67799659. The next prime is 67799701. The reversal of 67799680 is 8699776.

It is an interprime number because it is at equal distance from previous prime (67799659) and next prime (67799701).

It can be written as a sum of positive squares in 8 ways, for example, as 22963264 + 44836416 = 4792^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241140 + ... + 241420.

Almost surely, 2^67799680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90606600).

67799680 is an abundant number, since it is smaller than the sum of its proper divisors (113413520).

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

67799680 is a wasteful number, since it uses less digits than its factorization.

67799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The square root of 67799680 is about 8234.0561086259. The cubic root of 67799680 is about 407.7643134495.

The spelling of 67799680 in words is "sixty-seven million, seven hundred ninety-nine thousand, six hundred eighty".