78787680 has 192 divisors, whose sum is σ = 267805440. Its totient is φ = 19408896.

The previous prime is 78787669. The next prime is 78787697. The reversal of 78787680 is 8678787.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483279 + ... + 483441.

It is an arithmetic number, because the mean of its divisors is an integer number (1394820).

Almost surely, 2^78787680 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 78787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902720).

78787680 is an abundant number, since it is smaller than the sum of its proper divisors (189017760).

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

78787680 is a wasteful number, since it uses less digits than its factorization.

78787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 51.

The square root of 78787680 is about 8876.2424482435. The cubic root of 78787680 is about 428.6992964489.

The spelling of 78787680 in words is "seventy-eight million, seven hundred eighty-seven thousand, six hundred eighty".