77004061344 has 360 divisors, whose sum is σ = 264252209760. Its totient is φ = 21933483264.

The previous prime is 77004061333. The next prime is 77004061429. The reversal of 77004061344 is 44316040077.

It is a happy number.

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 = 77004061299 and 77004061308.

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 59 ways as a sum of consecutive naturals, for example, 53215629 + ... + 53217075.

It is an arithmetic number, because the mean of its divisors is an integer number (734033916).

Almost surely, 2^77004061344 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 77004061344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132126104880).

77004061344 is an abundant number, since it is smaller than the sum of its proper divisors (187248148416).

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

77004061344 is a wasteful number, since it uses less digits than its factorization.

77004061344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 77004061344 in words is "seventy-seven billion, four million, sixty-one thousand, three hundred forty-four".