77583132 has 72 divisors (see below), whose sum is σ = 216058752. Its totient is φ = 23277600.

The previous prime is 77583113. The next prime is 77583133. The reversal of 77583132 is 23138577.

77583132 is a `hidden beast` number, since 77 + 583 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77583133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41457 + ... + 43287.

It is an arithmetic number, because the mean of its divisors is an integer number (3000816).

Almost surely, 2^77583132 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 77583132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108029376).

77583132 is an abundant number, since it is smaller than the sum of its proper divisors (138475620).

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

77583132 is a wasteful number, since it uses less digits than its factorization.

77583132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1954 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 77583132 is about 8808.1287456531. The cubic root of 77583132 is about 426.5033394506.

The spelling of 77583132 in words is "seventy-seven million, five hundred eighty-three thousand, one hundred thirty-two".