77312898 has 48 divisors (see below), whose sum is σ = 186633720. Its totient is φ = 22966272.

The previous prime is 77312897. The next prime is 77312899. The reversal of 77312898 is 89821377.

It is an interprime number because it is at equal distance from previous prime (77312897) and next prime (77312899).

It can be written as a sum of positive squares in 4 ways, for example, as 62773929 + 14538969 = 7923^2 + 3813^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77312891) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1090 + ... + 12482.

Almost surely, 2^77312898 is an apocalyptic number.

77312898 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77312898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93316860).

77312898 is an abundant number, since it is smaller than the sum of its proper divisors (109320822).

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

77312898 is a wasteful number, since it uses less digits than its factorization.

77312898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11443 (or 11440 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 77312898 is about 8792.7753297807. The cubic root of 77312898 is about 426.0075711145.

It can be divided in two parts, 77312 and 898, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 77312898 in words is "seventy-seven million, three hundred twelve thousand, eight hundred ninety-eight".