77359423680 has 1344 divisors, whose sum is σ = 354482887680. Its totient is φ = 15556147200.

The previous prime is 77359423579. The next prime is 77359423721. The reversal of 77359423680 is 8632495377.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 2495465265 + ... + 2495465295.

Almost surely, 2^77359423680 is an apocalyptic number.

77359423680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77359423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177241443840).

77359423680 is an abundant number, since it is smaller than the sum of its proper divisors (277123464000).

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

77359423680 is a wasteful number, since it uses less digits than its factorization.

77359423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 77359423680 in words is "seventy-seven billion, three hundred fifty-nine million, four hundred twenty-three thousand, six hundred eighty".