77705152 has 56 divisors (see below), whose sum is σ = 182331360. Its totient is φ = 32148480.

The previous prime is 77705141. The next prime is 77705203. The reversal of 77705152 is 25150777.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10002 + ... + 15982.

Almost surely, 2^77705152 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 77705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91165680).

77705152 is an abundant number, since it is smaller than the sum of its proper divisors (104626208).

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

77705152 is a wasteful number, since it uses less digits than its factorization.

77705152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6029 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 34.

The square root of 77705152 is about 8815.0525806713. The cubic root of 77705152 is about 426.7268187762.

The spelling of 77705152 in words is "seventy-seven million, seven hundred five thousand, one hundred fifty-two".