77413512 has 128 divisors (see below), whose sum is σ = 228925440. Its totient is φ = 21550080.

The previous prime is 77413471. The next prime is 77413513. The reversal of 77413512 is 21531477.

77413512 = 199² + 200² + ... + 621².

It is a self number, because there is not a number n which added to its sum of digits gives 77413512.

It is not an unprimeable number, because it can be changed into a prime (77413513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210753 + ... + 211119.

It is an arithmetic number, because the mean of its divisors is an integer number (1788480).

Almost surely, 2^77413512 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 77413512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114462720).

77413512 is an abundant number, since it is smaller than the sum of its proper divisors (151511928).

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

77413512 is a wasteful number, since it uses less digits than its factorization.

77413512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 447 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 77413512 is about 8798.4948712834. The cubic root of 77413512 is about 426.1922912445.

Adding to 77413512 its reverse (21531477), we get a palindrome (98944989).

The spelling of 77413512 in words is "seventy-seven million, four hundred thirteen thousand, five hundred twelve".