78667680 has 192 divisors, whose sum is σ = 305157888. Its totient is φ = 16588800.

The previous prime is 78667651. The next prime is 78667681. The reversal of 78667680 is 8676687.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (78667681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42780 + ... + 44580.

It is an arithmetic number, because the mean of its divisors is an integer number (1589364).

Almost surely, 2^78667680 is an apocalyptic number.

78667680 is a gapful number since it is divisible by the number (70) 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 78667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152578944).

78667680 is an abundant number, since it is smaller than the sum of its proper divisors (226490208).

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

78667680 is a wasteful number, since it uses less digits than its factorization.

78667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 78667680 is about 8869.4802553475. The cubic root of 78667680 is about 428.4815379726.

The spelling of 78667680 in words is "seventy-eight million, six hundred sixty-seven thousand, six hundred eighty".