77967360000 has 800 divisors, whose sum is σ = 297269905680. Its totient is φ = 20348928000.

The previous prime is 77967359993. The next prime is 77967360011. The reversal of 77967360000 is 6376977.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1658879977 + ... + 1658880023.

Almost surely, 2^77967360000 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 77967360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148634952840).

77967360000 is an abundant number, since it is smaller than the sum of its proper divisors (219302545680).

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

77967360000 is an frugal number, since it uses more digits than its factorization.

77967360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 77967360000 in words is "seventy-seven billion, nine hundred sixty-seven million, three hundred sixty thousand".