78365300 has 54 divisors (see below), whose sum is σ = 184179618. Its totient is φ = 28928640.

The previous prime is 78365263. The next prime is 78365333. The reversal of 78365300 is 356387.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 59320804 + 19044496 = 7702^2 + 4364^2 .

It is a super-2 number, since 2×78365300² = 12282240488180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14582 + ... + 19218.

Almost surely, 2^78365300 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 78365300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92089809).

78365300 is an abundant number, since it is smaller than the sum of its proper divisors (105814318).

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

78365300 is a wasteful number, since it uses less digits than its factorization.

78365300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 78365300 is about 8852.4177488413. The cubic root of 78365300 is about 427.9318390889.

The spelling of 78365300 in words is "seventy-eight million, three hundred sixty-five thousand, three hundred".