78407264 has 48 divisors (see below), whose sum is σ = 176033088. Its totient is φ = 34056192.

The previous prime is 78407257. The next prime is 78407267. The reversal of 78407264 is 46270487.

It is a super-2 number, since 2×78407264² = 12295398095931392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78407267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1529 + ... + 12615.

It is an arithmetic number, because the mean of its divisors is an integer number (3667356).

Almost surely, 2^78407264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78407264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88016544).

78407264 is an abundant number, since it is smaller than the sum of its proper divisors (97625824).

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

78407264 is a wasteful number, since it uses less digits than its factorization.

78407264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127 (or 11119 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 78407264 is about 8854.7876315584. The cubic root of 78407264 is about 428.0082101666.

The spelling of 78407264 in words is "seventy-eight million, four hundred seven thousand, two hundred sixty-four".