78528480 has 48 divisors (see below), whose sum is σ = 247366224. Its totient is φ = 20940800.

The previous prime is 78528473. The next prime is 78528497. The reversal of 78528480 is 8482587.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×78528480² = 12333444342220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81321 + ... + 82280.

It is an arithmetic number, because the mean of its divisors is an integer number (5153463).

Almost surely, 2^78528480 is an apocalyptic number.

It is an amenable number.

78528480 is an abundant number, since it is smaller than the sum of its proper divisors (168837744).

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

78528480 is a wasteful number, since it uses less digits than its factorization.

78528480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163619 (or 163611 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 78528480 is about 8861.6296469667. The cubic root of 78528480 is about 428.2286605331.

The spelling of 78528480 in words is "seventy-eight million, five hundred twenty-eight thousand, four hundred eighty".