77265306 has 48 divisors (see below), whose sum is σ = 182431680. Its totient is φ = 24235200.

The previous prime is 77265283. The next prime is 77265329. The reversal of 77265306 is 60356277.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77265283) and next prime (77265329).

It is a super-2 number, since 2×77265306² = 11939855022547272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13131 + ... + 18081.

It is an arithmetic number, because the mean of its divisors is an integer number (3800660).

Almost surely, 2^77265306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77265306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91215840).

77265306 is an abundant number, since it is smaller than the sum of its proper divisors (105166374).

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

77265306 is a wasteful number, since it uses less digits than its factorization.

77265306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 77265306 is about 8790.0686004149. The cubic root of 77265306 is about 425.9201397611.

The spelling of 77265306 in words is "seventy-seven million, two hundred sixty-five thousand, three hundred six".