78355120 has 20 divisors (see below), whose sum is σ = 182175840. Its totient is φ = 31342016.

The previous prime is 78355111. The next prime is 78355133. The reversal of 78355120 is 2155387.

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

It is a super-2 number, since 2×78355120² = 12279049660428800, 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 3 ways as a sum of consecutive naturals, for example, 489640 + ... + 489799.

It is an arithmetic number, because the mean of its divisors is an integer number (9108792).

Almost surely, 2^78355120 is an apocalyptic number.

It is an amenable number.

78355120 is an abundant number, since it is smaller than the sum of its proper divisors (103820720).

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

78355120 is a wasteful number, since it uses less digits than its factorization.

78355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979452 (or 979446 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 78355120 is about 8851.8427460049. The cubic root of 78355120 is about 427.9133082052.

The spelling of 78355120 in words is "seventy-eight million, three hundred fifty-five thousand, one hundred twenty".