78415376 has 40 divisors (see below), whose sum is σ = 164328024. Its totient is φ = 36034560.

The previous prime is 78415369. The next prime is 78415387. The reversal of 78415376 is 67351487.

It can be written as a sum of positive squares in 4 ways, for example, as 2027776 + 76387600 = 1424^2 + 8740^2 .

It is a super-2 number, since 2×78415376² = 12297942386442752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56936 + ... + 58296.

Almost surely, 2^78415376 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 78415376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82164012).

78415376 is an abundant number, since it is smaller than the sum of its proper divisors (85912648).

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

78415376 is a wasteful number, since it uses less digits than its factorization.

78415376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1653 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 78415376 is about 8855.2456769985. The cubic root of 78415376 is about 428.0229702058.

It can be divided in two parts, 784 and 15376, that multiplied together give a square (12054784 = 3472²).

The spelling of 78415376 in words is "seventy-eight million, four hundred fifteen thousand, three hundred seventy-six".