77801119764480 has 1664 divisors, whose sum is σ = 321954392309760. Its totient is φ = 17457256857600.

The previous prime is 77801119764479. The next prime is 77801119764493. The reversal of 77801119764480 is 8446791110877.

77801119764480 is a `hidden beast` number, since 7 + 7 + 8 + 0 + 1 + 1 + 1 + 97 + 64 + 480 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 49649724657 + ... + 49649726223.

Almost surely, 2^{77801119764480} is an apocalyptic number.

77801119764480 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 77801119764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160977196154880).

77801119764480 is an abundant number, since it is smaller than the sum of its proper divisors (244153272545280).

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

77801119764480 is a wasteful number, since it uses less digits than its factorization.

77801119764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 77801119764480 in words is "seventy-seven trillion, eight hundred one billion, one hundred nineteen million, seven hundred sixty-four thousand, four hundred eighty".