78008832 has 280 divisors, whose sum is σ = 268353360. Its totient is φ = 22394880.

The previous prime is 78008807. The next prime is 78008867. The reversal of 78008832 is 23880087.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4105719 + ... + 4105737.

Almost surely, 2^78008832 is an apocalyptic number.

78008832 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 78008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134176680).

78008832 is an abundant number, since it is smaller than the sum of its proper divisors (190344528).

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

78008832 is an equidigital number, since it uses as much as digits as its factorization.

78008832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78008832 is about 8832.2608657127. The cubic root of 78008832 is about 427.2819941088.

The spelling of 78008832 in words is "seventy-eight million, eight thousand, eight hundred thirty-two".