78741432 has 144 divisors (see below), whose sum is σ = 270761400. Its totient is φ = 20442240.

The previous prime is 78741427. The next prime is 78741463. The reversal of 78741432 is 23414787.

It is a happy number.

It is a super-2 number, since 2×78741432² = 12400426226821248, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37794 + ... + 39822.

Almost surely, 2^78741432 is an apocalyptic number.

78741432 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 78741432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135380700).

78741432 is an abundant number, since it is smaller than the sum of its proper divisors (192019968).

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

78741432 is a wasteful number, since it uses less digits than its factorization.

78741432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2052 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 78741432 is about 8873.6369094076. The cubic root of 78741432 is about 428.6153985363.

The spelling of 78741432 in words is "seventy-eight million, seven hundred forty-one thousand, four hundred thirty-two".