77084306640 has 640 divisors, whose sum is σ = 302515637760. Its totient is φ = 17875353600.

The previous prime is 77084306633. The next prime is 77084306653. The reversal of 77084306640 is 4660348077.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51629734 + ... + 51631226.

It is an arithmetic number, because the mean of its divisors is an integer number (472680684).

Almost surely, 2^77084306640 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 77084306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151257818880).

77084306640 is an abundant number, since it is smaller than the sum of its proper divisors (225431331120).

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

77084306640 is a wasteful number, since it uses less digits than its factorization.

77084306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 77084306640 in words is "seventy-seven billion, eighty-four million, three hundred six thousand, six hundred forty".