76967000 has 64 divisors (see below), whose sum is σ = 196503840. Its totient is φ = 27984000.

The previous prime is 76966999. The next prime is 76967021. The reversal of 76967000 is 76967.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7502 + ... + 14498.

Almost surely, 2^76967000 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 76967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98251920).

76967000 is an abundant number, since it is smaller than the sum of its proper divisors (119536840).

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

76967000 is a wasteful number, since it uses less digits than its factorization.

76967000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 76967000 is about 8773.0838363713. The cubic root of 76967000 is about 425.3713018148.

76967000 divided by its reverse (76967) gives a cube (1000 = 10³).

The spelling of 76967000 in words is "seventy-six million, nine hundred sixty-seven thousand".