77881632 has 96 divisors (see below), whose sum is σ = 214389504. Its totient is φ = 24729600.

The previous prime is 77881631. The next prime is 77881649. The reversal of 77881632 is 23618877.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (77881631) 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, 184782 + ... + 185202.

It is an arithmetic number, because the mean of its divisors is an integer number (2233224).

Almost surely, 2^77881632 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 77881632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107194752).

77881632 is an abundant number, since it is smaller than the sum of its proper divisors (136507872).

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

77881632 is a wasteful number, since it uses less digits than its factorization.

77881632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 77881632 is about 8825.0570536399. The cubic root of 77881632 is about 427.0496279525.

The spelling of 77881632 in words is "seventy-seven million, eight hundred eighty-one thousand, six hundred thirty-two".