78237306 has 64 divisors (see below), whose sum is σ = 207360000. Its totient is φ = 21379248.

The previous prime is 78237301. The next prime is 78237317. The reversal of 78237306 is 60373287.

It is a super-2 number, since 2×78237306² = 12242152100275272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78237301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4195 + ... + 13193.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 2^78237306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78237306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680000).

78237306 is an abundant number, since it is smaller than the sum of its proper divisors (129122694).

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

78237306 is a wasteful number, since it uses less digits than its factorization.

78237306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 78237306 is about 8845.1854700735. The cubic root of 78237306 is about 427.6987318549.

It can be divided in two parts, 7823 and 7306, that added together give a square (15129 = 123²).

The spelling of 78237306 in words is "seventy-eight million, two hundred thirty-seven thousand, three hundred six".