77265090 has 80 divisors (see below), whose sum is σ = 237454272. Its totient is φ = 17659296.

The previous prime is 77265053. The next prime is 77265127. The reversal of 77265090 is 9056277.

It is an interprime number because it is at equal distance from previous prime (77265053) and next prime (77265127).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 1144 + ... + 12483.

Almost surely, 2^77265090 is an apocalyptic number.

77265090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77265090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118727136).

77265090 is an abundant number, since it is smaller than the sum of its proper divisors (160189182).

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

77265090 is a wasteful number, since it uses less digits than its factorization.

77265090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13653 (or 13644 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 77265090 is about 8790.0563138128. The cubic root of 77265090 is about 425.9197428653.

The spelling of 77265090 in words is "seventy-seven million, two hundred sixty-five thousand, ninety".