77646000 has 80 divisors (see below), whose sum is σ = 250350048. Its totient is φ = 20704000.

The previous prime is 77645977. The next prime is 77646001. The reversal of 77646000 is 64677.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (77646001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471 + ... + 12470.

Almost surely, 2^77646000 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 77646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125175024).

77646000 is an abundant number, since it is smaller than the sum of its proper divisors (172704048).

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

77646000 is a wasteful number, since it uses less digits than its factorization.

77646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12967 (or 12951 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 77646000 is about 8811.6967719049. The cubic root of 77646000 is about 426.6185112753.

The spelling of 77646000 in words is "seventy-seven million, six hundred forty-six thousand".