77246496 has 72 divisors (see below), whose sum is σ = 223321644. Its totient is φ = 25320960.

The previous prime is 77246471. The next prime is 77246497. The reversal of 77246496 is 69464277.

It can be written as a sum of positive squares in 2 ways, for example, as 69956496 + 7290000 = 8364^2 + 2700^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×77246496² = 11934042288556032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77246497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15370 + ... + 19766.

Almost surely, 2^77246496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77246496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111660822).

77246496 is an abundant number, since it is smaller than the sum of its proper divisors (146075148).

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

77246496 is a wasteful number, since it uses less digits than its factorization.

77246496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4463 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 77246496 is about 8788.9985777675. The cubic root of 77246496 is about 425.8855739753.

The spelling of 77246496 in words is "seventy-seven million, two hundred forty-six thousand, four hundred ninety-six".