76743632 has 40 divisors (see below), whose sum is σ = 171864000. Its totient is φ = 32516352.

The previous prime is 76743619. The next prime is 76743637. The reversal of 76743632 is 23634767.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76743637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6119 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^76743632 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 76743632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932000).

76743632 is an abundant number, since it is smaller than the sum of its proper divisors (95120368).

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

76743632 is a wasteful number, since it uses less digits than its factorization.

76743632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803 (or 7797 counting only the distinct ones).

The product of its digits is 127008, while the sum is 38.

The square root of 76743632 is about 8760.3442854719. The cubic root of 76743632 is about 424.9594092722.

The spelling of 76743632 in words is "seventy-six million, seven hundred forty-three thousand, six hundred thirty-two".