77009069520 has 160 divisors (see below), whose sum is σ = 266365094400. Its totient is φ = 20449691136.

The previous prime is 77009069519. The next prime is 77009069531. The reversal of 77009069520 is 2596090077.

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 31 ways as a sum of consecutive naturals, for example, 441654 + ... + 590826.

It is an arithmetic number, because the mean of its divisors is an integer number (1664781840).

Almost surely, 2^77009069520 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 77009069520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133182547200).

77009069520 is an abundant number, since it is smaller than the sum of its proper divisors (189356024880).

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

77009069520 is a wasteful number, since it uses less digits than its factorization.

77009069520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149434 (or 149422 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 77009069520 in words is "seventy-seven billion, nine million, sixty-nine thousand, five hundred twenty".