78605956 has 81 divisors (see below), whose sum is σ = 169180389. Its totient is φ = 31917600.

The previous prime is 78605953. The next prime is 78605959. The reversal of 78605956 is 65950687.

78605956 = T₁₀₃ + T₁₀₄ + ... + T₇₇₈.

The square root of 78605956 is 8866.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (78605953) and next prime (78605959).

It can be written as a sum of positive squares in only one way, i.e., 11628100 + 66977856 = 3410^2 + 8184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78605951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2535661 + ... + 2535691.

Almost surely, 2^78605956 is an apocalyptic number.

78605956 is the 8866-th square number.

It is an amenable number.

78605956 is an abundant number, since it is smaller than the sum of its proper divisors (90574433).

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

78605956 is a wasteful number, since it uses less digits than its factorization.

78605956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The cubic root of 78605956 is about 428.3694440159.

The spelling of 78605956 in words is "seventy-eight million, six hundred five thousand, nine hundred fifty-six".