77568000 has 192 divisors, whose sum is σ = 260638560. Its totient is φ = 20480000.

The previous prime is 77567999. The next prime is 77568047. The reversal of 77568000 is 86577.

It is a tau number, because it is divible by the number of its divisors (192).

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, 767950 + ... + 768050.

Almost surely, 2^77568000 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 77568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

77568000 is an abundant number, since it is smaller than the sum of its proper divisors (183070560).

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

77568000 is a wasteful number, since it uses less digits than its factorization.

77568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 77568000 is about 8807.2697244946. The cubic root of 77568000 is about 426.4756089031.

The spelling of 77568000 in words is "seventy-seven million, five hundred sixty-eight thousand".