77120330544 has 120 divisors (see below), whose sum is σ = 228900550320. Its totient is φ = 24154927104.

The previous prime is 77120330533. The next prime is 77120330591. The reversal of 77120330544 is 44503302177.

77120330544 is a `hidden beast` number, since 77 + 12 + 0 + 3 + 30 + 544 = 666.

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 = 77120330499 and 77120330508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1484887 + ... + 1535945.

It is an arithmetic number, because the mean of its divisors is an integer number (1907504586).

Almost surely, 2^77120330544 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 77120330544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114450275160).

77120330544 is an abundant number, since it is smaller than the sum of its proper divisors (151780219776).

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

77120330544 is a wasteful number, since it uses less digits than its factorization.

77120330544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51707 (or 51698 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 77120330544 in words is "seventy-seven billion, one hundred twenty million, three hundred thirty thousand, five hundred forty-four".