77246442 has 72 divisors (see below), whose sum is σ = 209700036. Its totient is φ = 20369664.

The previous prime is 77246413. The next prime is 77246471. The reversal of 77246442 is 24464277.

It is a happy number.

77246442 is a `hidden beast` number, since 7 + 7 + 2 + 4 + 644 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (77246413) and next prime (77246471).

It can be written as a sum of positive squares in 2 ways, for example, as 74494161 + 2752281 = 8631^2 + 1659^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77246397 and 77246406.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8098 + ... + 14834.

Almost surely, 2^77246442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77246442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104850018).

77246442 is an abundant number, since it is smaller than the sum of its proper divisors (132453594).

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

77246442 is a wasteful number, since it uses less digits than its factorization.

77246442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6762 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 77246442 is about 8788.9955057447. The cubic root of 77246442 is about 425.8854747353.

The spelling of 77246442 in words is "seventy-seven million, two hundred forty-six thousand, four hundred forty-two".