78465120 has 48 divisors (see below), whose sum is σ = 247166640. Its totient is φ = 20923904.

The previous prime is 78465113. The next prime is 78465131. The reversal of 78465120 is 2156487.

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

It is a super-2 number, since 2×78465120² = 12313550113228800, 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, 81255 + ... + 82214.

It is an arithmetic number, because the mean of its divisors is an integer number (5149305).

Almost surely, 2^78465120 is an apocalyptic number.

It is an amenable number.

78465120 is an abundant number, since it is smaller than the sum of its proper divisors (168701520).

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

78465120 is a wasteful number, since it uses less digits than its factorization.

78465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163487 (or 163479 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 78465120 is about 8858.0539623554. The cubic root of 78465120 is about 428.1134587259.

The spelling of 78465120 in words is "seventy-eight million, four hundred sixty-five thousand, one hundred twenty".