78378432 has 224 divisors, whose sum is σ = 250179840. Its totient is φ = 21381120.

The previous prime is 78378413. The next prime is 78378481. The reversal of 78378432 is 23487387.

It is a super-2 number, since 2×78378432² = 12286357205557248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1328419 + ... + 1328477.

Almost surely, 2^78378432 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 78378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089920).

78378432 is an abundant number, since it is smaller than the sum of its proper divisors (171801408).

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

78378432 is a wasteful number, since it uses less digits than its factorization.

78378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 78378432 is about 8853.1594360432. The cubic root of 78378432 is about 427.9557411945.

The spelling of 78378432 in words is "seventy-eight million, three hundred seventy-eight thousand, four hundred thirty-two".