78133520 has 20 divisors (see below), whose sum is σ = 181660620. Its totient is φ = 31253376.

The previous prime is 78133519. The next prime is 78133571. The reversal of 78133520 is 2533187.

It can be written as a sum of positive squares in 2 ways, for example, as 59228416 + 18905104 = 7696^2 + 4348^2 .

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

It is a super-2 number, since 2×78133520² = 12209693895180800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 488255 + ... + 488414.

It is an arithmetic number, because the mean of its divisors is an integer number (9083031).

Almost surely, 2^78133520 is an apocalyptic number.

It is an amenable number.

78133520 is an abundant number, since it is smaller than the sum of its proper divisors (103527100).

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

78133520 is a wasteful number, since it uses less digits than its factorization.

78133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976682 (or 976676 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 78133520 is about 8839.3167156744. The cubic root of 78133520 is about 427.5095263657.

The spelling of 78133520 in words is "seventy-eight million, one hundred thirty-three thousand, five hundred twenty".