78695680 has 72 divisors (see below), whose sum is σ = 215453952. Its totient is φ = 26978304.

The previous prime is 78695671. The next prime is 78695689. The reversal of 78695680 is 8659687.

It is an interprime number because it is at equal distance from previous prime (78695671) and next prime (78695689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78695689) 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, 4569 + ... + 13351.

It is an arithmetic number, because the mean of its divisors is an integer number (2992416).

Almost surely, 2^78695680 is an apocalyptic number.

78695680 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 78695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107726976).

78695680 is an abundant number, since it is smaller than the sum of its proper divisors (136758272).

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

78695680 is an equidigital number, since it uses as much as digits as its factorization.

78695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811 (or 8797 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 78695680 is about 8871.0585614119. The cubic root of 78695680 is about 428.5323680803.

The spelling of 78695680 in words is "seventy-eight million, six hundred ninety-five thousand, six hundred eighty".