78553760 has 48 divisors (see below), whose sum is σ = 187459272. Its totient is φ = 31104000.

The previous prime is 78553747. The next prime is 78553789. The reversal of 78553760 is 6735587.

It can be written as a sum of positive squares in 4 ways, for example, as 78074896 + 478864 = 8836^2 + 692^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13730 + ... + 18590.

Almost surely, 2^78553760 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 78553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93729636).

78553760 is an abundant number, since it is smaller than the sum of its proper divisors (108905512).

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

78553760 is a wasteful number, since it uses less digits than its factorization.

78553760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 78553760 is about 8863.0559064016. The cubic root of 78553760 is about 428.2746075962.

It can be divided in two parts, 785 and 53760, that added together give a palindrome (54545).

The spelling of 78553760 in words is "seventy-eight million, five hundred fifty-three thousand, seven hundred sixty".