78237264 has 80 divisors (see below), whose sum is σ = 244591488. Its totient is φ = 21037056.

The previous prime is 78237259. The next prime is 78237293. The reversal of 78237264 is 46273287.

It is a super-2 number, since 2×78237264² = 12242138956411392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137 + ... + 12560.

Almost surely, 2^78237264 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 78237264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122295744).

78237264 is an abundant number, since it is smaller than the sum of its proper divisors (166354224).

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

78237264 is a wasteful number, since it uses less digits than its factorization.

78237264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13732 (or 13726 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 78237264 is about 8845.1830959003. The cubic root of 78237264 is about 427.6986553212.

The spelling of 78237264 in words is "seventy-eight million, two hundred thirty-seven thousand, two hundred sixty-four".