78031632 has 160 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 19851264.

The previous prime is 78031621. The next prime is 78031661. The reversal of 78031632 is 23613087.

It is a self number, because there is not a number n which added to its sum of digits gives 78031632.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 108169 + ... + 108887.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^78031632 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 78031632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

78031632 is an abundant number, since it is smaller than the sum of its proper divisors (179094768).

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

78031632 is a wasteful number, since it uses less digits than its factorization.

78031632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 78031632 is about 8833.5514941613. The cubic root of 78031632 is about 427.3236179449.

The spelling of 78031632 in words is "seventy-eight million, thirty-one thousand, six hundred thirty-two".