78225364 has 54 divisors (see below), whose sum is σ = 169285326. Its totient is φ = 31530240.

The previous prime is 78225361. The next prime is 78225377. The reversal of 78225364 is 46352287.

It can be written as a sum of positive squares in 3 ways, for example, as 29811600 + 48413764 = 5460^2 + 6958^2 .

It is a super-2 number, since 2×78225364² = 12238415145864992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78225361) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55954 + ... + 57334.

Almost surely, 2^78225364 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 78225364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84642663).

78225364 is an abundant number, since it is smaller than the sum of its proper divisors (91059962).

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

78225364 is a wasteful number, since it uses less digits than its factorization.

78225364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1407 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 78225364 is about 8844.5103878055. The cubic root of 78225364 is about 427.6769696956.

The spelling of 78225364 in words is "seventy-eight million, two hundred twenty-five thousand, three hundred sixty-four".