78393316 has 27 divisors (see below), whose sum is σ = 145412841. Its totient is φ = 36974304.

The previous prime is 78393299. The next prime is 78393317. The reversal of 78393316 is 61339387.

The square root of 78393316 is 8854.

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

It can be written as a sum of positive squares in only one way, i.e., 15920100 + 62473216 = 3990^2 + 7904^2 .

It is a super-3 number, since 3×78393316³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78393317) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 336336 + ... + 336568.

Almost surely, 2^78393316 is an apocalyptic number.

78393316 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

78393316 is the 8854-th square number.

It is an amenable number.

78393316 is a deficient number, since it is larger than the sum of its proper divisors (67019525).

78393316 is a wasteful number, since it uses less digits than its factorization.

78393316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its digits is 81648, while the sum is 40.

The cubic root of 78393316 is about 427.9828289615.

The spelling of 78393316 in words is "seventy-eight million, three hundred ninety-three thousand, three hundred sixteen".