78189760 has 112 divisors (see below), whose sum is σ = 206105760. Its totient is φ = 28016640.

The previous prime is 78189751. The next prime is 78189779. The reversal of 78189760 is 6798187.

It is a super-2 number, since 2×78189760² = 12227277137715200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78189760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341326 + ... + 341554.

It is an arithmetic number, because the mean of its divisors is an integer number (1840230).

Almost surely, 2^78189760 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 78189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103052880).

78189760 is an abundant number, since it is smaller than the sum of its proper divisors (127916000).

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

78189760 is a wasteful number, since it uses less digits than its factorization.

78189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The square root of 78189760 is about 8842.4973847890. The cubic root of 78189760 is about 427.6120746248.

It can be divided in two parts, 7818 and 9760, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 78189760 in words is "seventy-eight million, one hundred eighty-nine thousand, seven hundred sixty".