78052880 has 20 divisors (see below), whose sum is σ = 181473132. Its totient is φ = 31221120.

The previous prime is 78052879. The next prime is 78052913. The reversal of 78052880 is 8825087.

It can be written as a sum of positive squares in 2 ways, for example, as 37552384 + 40500496 = 6128^2 + 6364^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×78052880⁴ (a number of 33 digits) contains 4444 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 3 ways as a sum of consecutive naturals, for example, 487751 + ... + 487910.

Almost surely, 2^78052880 is an apocalyptic number.

It is an amenable number.

78052880 is an abundant number, since it is smaller than the sum of its proper divisors (103420252).

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

78052880 is a wasteful number, since it uses less digits than its factorization.

78052880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975674 (or 975668 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 78052880 is about 8834.7540995774. The cubic root of 78052880 is about 427.3624011408.

The spelling of 78052880 in words is "seventy-eight million, fifty-two thousand, eight hundred eighty".