78091632 has 60 divisors (see below), whose sum is σ = 219602760. Its totient is φ = 25905024.

The previous prime is 78091619. The next prime is 78091667. The reversal of 78091632 is 23619087.

It is a super-4 number, since 4×78091632⁴ (a number of 33 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31494 + ... + 33882.

It is an arithmetic number, because the mean of its divisors is an integer number (3660046).

Almost surely, 2^78091632 is an apocalyptic number.

78091632 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 78091632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109801380).

78091632 is an abundant number, since it is smaller than the sum of its proper divisors (141511128).

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

78091632 is a wasteful number, since it uses less digits than its factorization.

78091632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 78091632 is about 8836.9469841117. The cubic root of 78091632 is about 427.4331156263.

The spelling of 78091632 in words is "seventy-eight million, ninety-one thousand, six hundred thirty-two".