78783376 has 45 divisors (see below), whose sum is σ = 178125969. Its totient is φ = 33657792.

The previous prime is 78783359. The next prime is 78783377. The reversal of 78783376 is 67338787.

It is a happy number.

The square root of 78783376 is 8876.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4410000 + 74373376 = 2100^2 + 8624^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (78783377) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 248370 + ... + 248686.

Almost surely, 2^78783376 is an apocalyptic number.

78783376 is the 8876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78783376

78783376 is an abundant number, since it is smaller than the sum of its proper divisors (99342593).

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

78783376 is an equidigital number, since it uses as much as digits as its factorization.

78783376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 326 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 49.

The cubic root of 78783376 is about 428.6914900027.

Multiplying 78783376 by its sum of digits (49), we get a square (3860385424 = 62132²).

78783376 divided by its sum of digits (49) gives a square (1607824 = 1268²).

The spelling of 78783376 in words is "seventy-eight million, seven hundred eighty-three thousand, three hundred seventy-six".