78225264 has 100 divisors (see below), whose sum is σ = 243875016. Its totient is φ = 24064128.

The previous prime is 78225233. The next prime is 78225293. The reversal of 78225264 is 46252287.

It is a super-2 number, since 2×78225264² = 12238383855739392, which contains 22 as substring.

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

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, 14527 + ... + 19169.

Almost surely, 2^78225264 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 78225264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121937508).

78225264 is an abundant number, since it is smaller than the sum of its proper divisors (165649752).

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

78225264 is a wasteful number, since it uses less digits than its factorization.

78225264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4661 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 78225264 is about 8844.5047345795. The cubic root of 78225264 is about 427.6767874541.

The spelling of 78225264 in words is "seventy-eight million, two hundred twenty-five thousand, two hundred sixty-four".