78745632 has 192 divisors, whose sum is σ = 256483584. Its totient is φ = 20643840.

The previous prime is 78745631. The next prime is 78745637. The reversal of 78745632 is 23654787.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (78745631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696808 + ... + 696920.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^78745632 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 78745632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128241792).

78745632 is an abundant number, since it is smaller than the sum of its proper divisors (177737952).

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

78745632 is a wasteful number, since it uses less digits than its factorization.

78745632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 78745632 is about 8873.8735623176. The cubic root of 78745632 is about 428.6230190592.

The spelling of 78745632 in words is "seventy-eight million, seven hundred forty-five thousand, six hundred thirty-two".