78200460 has 144 divisors (see below), whose sum is σ = 266745024. Its totient is φ = 18399744.

The previous prime is 78200453. The next prime is 78200471. The reversal of 78200460 is 6400287.

It is a super-2 number, since 2×78200460² = 12230623888423200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53094 + ... + 54546.

It is an arithmetic number, because the mean of its divisors is an integer number (1852396).

Almost surely, 2^78200460 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 78200460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133372512).

78200460 is an abundant number, since it is smaller than the sum of its proper divisors (188544564).

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

78200460 is a wasteful number, since it uses less digits than its factorization.

78200460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78200460 is about 8843.1023967836. The cubic root of 78200460 is about 427.6315794829.

The spelling of 78200460 in words is "seventy-eight million, two hundred thousand, four hundred sixty".