78084657 has 48 divisors (see below), whose sum is σ = 132612480. Its totient is φ = 43358976.

The previous prime is 78084647. The next prime is 78084683. The reversal of 78084657 is 75648087.

It is not a de Polignac number, because 78084657 - 2⁸ = 78084401 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78084607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569893 + ... + 570029.

It is an arithmetic number, because the mean of its divisors is an integer number (2762760).

Almost surely, 2^78084657 is an apocalyptic number.

It is an amenable number.

78084657 is a deficient number, since it is larger than the sum of its proper divisors (54527823).

78084657 is a wasteful number, since it uses less digits than its factorization.

78084657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 78084657 is about 8836.5523254265. The cubic root of 78084657 is about 427.4203894025.

The spelling of 78084657 in words is "seventy-eight million, eighty-four thousand, six hundred fifty-seven".