77967000 has 96 divisors (see below), whose sum is σ = 263558880. Its totient is φ = 20788800.

The previous prime is 77966989. The next prime is 77967037. The reversal of 77967000 is 76977.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 4669 + ... + 13331.

It is an arithmetic number, because the mean of its divisors is an integer number (2745405).

Almost surely, 2^77967000 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 77967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131779440).

77967000 is an abundant number, since it is smaller than the sum of its proper divisors (185591880).

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

77967000 is a wasteful number, since it uses less digits than its factorization.

77967000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 77967000 is about 8829.8924115756. The cubic root of 77967000 is about 427.2056042273.

The spelling of 77967000 in words is "seventy-seven million, nine hundred sixty-seven thousand".