78378496 has 80 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 31795200.

The previous prime is 78378493. The next prime is 78378499. The reversal of 78378496 is 69487387.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78378493) and next prime (78378499).

It is a super-4 number, since 4×78378496⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78378493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67521 + ... + 68671.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^78378496 is an apocalyptic number.

78378496 is a gapful number since it is divisible by the number (76) 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 78378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

78378496 is an abundant number, since it is smaller than the sum of its proper divisors (110180864).

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

78378496 is a wasteful number, since it uses less digits than its factorization.

78378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1179 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 78378496 is about 8853.1630505712. The cubic root of 78378496 is about 427.9558576771.

The spelling of 78378496 in words is "seventy-eight million, three hundred seventy-eight thousand, four hundred ninety-six".