78264144 has 100 divisors (see below), whose sum is σ = 258909024. Its totient is φ = 22358592.

The previous prime is 78264133. The next prime is 78264157. The reversal of 78264144 is 44146287.

78264144 is a `hidden beast` number, since 7 + 8 + 2 + 641 + 4 + 4 = 666.

It is a super-2 number, since 2×78264144² = 12250552472105472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 78264099 and 78264108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4759 + ... + 13385.

Almost surely, 2^78264144 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 78264144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129454512).

78264144 is an abundant number, since it is smaller than the sum of its proper divisors (180644880).

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

78264144 is a wasteful number, since it uses less digits than its factorization.

78264144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8654 (or 8639 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 78264144 is about 8846.7024365014. The cubic root of 78264144 is about 427.7476312307.

The spelling of 78264144 in words is "seventy-eight million, two hundred sixty-four thousand, one hundred forty-four".