77246352 has 80 divisors (see below), whose sum is σ = 223289280. Its totient is φ = 25567488.

The previous prime is 77246347. The next prime is 77246359. The reversal of 77246352 is 25364277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77246359) 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 15 ways as a sum of consecutive naturals, for example, 69868 + ... + 70964.

It is an arithmetic number, because the mean of its divisors is an integer number (2791116).

Almost surely, 2^77246352 is an apocalyptic number.

77246352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77246352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111644640).

77246352 is an abundant number, since it is smaller than the sum of its proper divisors (146042928).

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

77246352 is a wasteful number, since it uses less digits than its factorization.

77246352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1265 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 77246352 is about 8788.9903857042. The cubic root of 77246352 is about 425.8853093352.

The spelling of 77246352 in words is "seventy-seven million, two hundred forty-six thousand, three hundred fifty-two".