77706432 has 112 divisors (see below), whose sum is σ = 230611680. Its totient is φ = 25657344.

The previous prime is 77706403. The next prime is 77706437. The reversal of 77706432 is 23460777.

77706432 is a `hidden beast` number, since 7 + 7 + 7 + 0 + 643 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (77706437) 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, 333388 + ... + 333620.

Almost surely, 2^77706432 is an apocalyptic number.

77706432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115305840).

77706432 is an abundant number, since it is smaller than the sum of its proper divisors (152905248).

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

77706432 is a wasteful number, since it uses less digits than its factorization.

77706432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 77706432 is about 8815.1251834560. The cubic root of 77706432 is about 426.7291618526.

77706432 divided by its sum of digits (36) gives a palindrome (2158512).

The spelling of 77706432 in words is "seventy-seven million, seven hundred six thousand, four hundred thirty-two".