78676480 has 80 divisors (see below), whose sum is σ = 191677464. Its totient is φ = 30965760.

The previous prime is 78676471. The next prime is 78676489. The reversal of 78676480 is 8467687.

It is an interprime number because it is at equal distance from previous prime (78676471) and next prime (78676489).

It can be written as a sum of positive squares in 4 ways, for example, as 39137536 + 39538944 = 6256^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 78676480.

It is not an unprimeable number, because it can be changed into a prime (78676489) 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, 186670 + ... + 187090.

Almost surely, 2^78676480 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 78676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95838732).

78676480 is an abundant number, since it is smaller than the sum of its proper divisors (113000984).

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

78676480 is an equidigital number, since it uses as much as digits as its factorization.

78676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 78676480 is about 8869.9763246584. The cubic root of 78676480 is about 428.4975144488.

The spelling of 78676480 in words is "seventy-eight million, six hundred seventy-six thousand, four hundred eighty".