77933232 has 80 divisors (see below), whose sum is σ = 240922080. Its totient is φ = 23977728.

The previous prime is 77933209. The next prime is 77933239. The reversal of 77933232 is 23233977.

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 (77933239) 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, 1323 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (3011526).

Almost surely, 2^77933232 is an apocalyptic number.

77933232 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 77933232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120461040).

77933232 is an abundant number, since it is smaller than the sum of its proper divisors (162988848).

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

77933232 is a wasteful number, since it uses less digits than its factorization.

77933232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13907 (or 13895 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 77933232 is about 8827.9800634120. The cubic root of 77933232 is about 427.1439201730.

It can be divided in two parts, 7793 and 3232, that added together give a square (11025 = 105²).

The spelling of 77933232 in words is "seventy-seven million, nine hundred thirty-three thousand, two hundred thirty-two".