77319813120 has 768 divisors, whose sum is σ = 285461729280. Its totient is φ = 17842176000.

The previous prime is 77319813107. The next prime is 77319813133. The reversal of 77319813120 is 2131891377.

It is an interprime number because it is at equal distance from previous prime (77319813107) and next prime (77319813133).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1267537890 + ... + 1267537950.

It is an arithmetic number, because the mean of its divisors is an integer number (371694960).

Almost surely, 2^77319813120 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 77319813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142730864640).

77319813120 is an abundant number, since it is smaller than the sum of its proper divisors (208141916160).

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

77319813120 is a wasteful number, since it uses less digits than its factorization.

77319813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 77319813120 in words is "seventy-seven billion, three hundred nineteen million, eight hundred thirteen thousand, one hundred twenty".