77532070680 has 192 divisors, whose sum is σ = 270457911360. Its totient is φ = 19192356864.

The previous prime is 77532070669. The next prime is 77532070711. The reversal of 77532070680 is 8607023577.

It is a super-2 number, since 2×77532070680² (a number of 23 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359989 + ... + 533531.

It is an arithmetic number, because the mean of its divisors is an integer number (1408634955).

Almost surely, 2^77532070680 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 77532070680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135228955680).

77532070680 is an abundant number, since it is smaller than the sum of its proper divisors (192925840680).

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

77532070680 is a wasteful number, since it uses less digits than its factorization.

77532070680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173650 (or 173643 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 77532070680 in words is "seventy-seven billion, five hundred thirty-two million, seventy thousand, six hundred eighty".