77003413344 has 480 divisors, whose sum is σ = 269369743104. Its totient is φ = 21271403520.

The previous prime is 77003413301. The next prime is 77003413369. The reversal of 77003413344 is 44331430077.

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

It is a junction number, because it is equal to n+sod(n) for n = 77003413299 and 77003413308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30763197 + ... + 30765699.

Almost surely, 2^77003413344 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 77003413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134684871552).

77003413344 is an abundant number, since it is smaller than the sum of its proper divisors (192366329760).

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

77003413344 is a wasteful number, since it uses less digits than its factorization.

77003413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 77003413344 in words is "seventy-seven billion, three million, four hundred thirteen thousand, three hundred forty-four".