77369886720 has 576 divisors, whose sum is σ = 319983955200. Its totient is φ = 17681448960.

The previous prime is 77369886709. The next prime is 77369886749. The reversal of 77369886720 is 2768896377.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13544665 + ... + 13550375.

It is an arithmetic number, because the mean of its divisors is an integer number (555527700).

Almost surely, 2^77369886720 is an apocalyptic number.

77369886720 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 77369886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159991977600).

77369886720 is an abundant number, since it is smaller than the sum of its proper divisors (242614068480).

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

77369886720 is a wasteful number, since it uses less digits than its factorization.

77369886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 77369886720 in words is "seventy-seven billion, three hundred sixty-nine million, eight hundred eighty-six thousand, seven hundred twenty".