77675232 has 96 divisors (see below), whose sum is σ = 215212032. Its totient is φ = 24482304.

The previous prime is 77675231. The next prime is 77675233. The reversal of 77675232 is 23257677.

It is an interprime number because it is at equal distance from previous prime (77675231) and next prime (77675233).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77675231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280278 + ... + 280554.

It is an arithmetic number, because the mean of its divisors is an integer number (2241792).

Almost surely, 2^77675232 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 77675232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107606016).

77675232 is an abundant number, since it is smaller than the sum of its proper divisors (137536800).

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

77675232 is a wasteful number, since it uses less digits than its factorization.

77675232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its digits is 123480, while the sum is 39.

The square root of 77675232 is about 8813.3553201945. The cubic root of 77675232 is about 426.6720420330.

The spelling of 77675232 in words is "seventy-seven million, six hundred seventy-five thousand, two hundred thirty-two".