78364260 has 180 divisors, whose sum is σ = 269152884. Its totient is φ = 18973440.

The previous prime is 78364241. The next prime is 78364301. The reversal of 78364260 is 6246387.

78364260 is a `hidden beast` number, since 7 + 8 + 3 + 642 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 45805824 + 32558436 = 6768^2 + 5706^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×78364260² = 12281914490695200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1284630 + ... + 1284690.

Almost surely, 2^78364260 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 78364260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134576442).

78364260 is an abundant number, since it is smaller than the sum of its proper divisors (190788624).

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

78364260 is a wasteful number, since it uses less digits than its factorization.

78364260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 78364260 is about 8852.3590076318. The cubic root of 78364260 is about 427.9299460270.

The spelling of 78364260 in words is "seventy-eight million, three hundred sixty-four thousand, two hundred sixty".