78986760 has 128 divisors (see below), whose sum is σ = 259200000. Its totient is φ = 19169280.

The previous prime is 78986759. The next prime is 78986773. The reversal of 78986760 is 6768987.

78986760 = 93² + 94² + ... + 619².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 62616 + ... + 63864.

It is an arithmetic number, because the mean of its divisors is an integer number (2025000).

Almost surely, 2^78986760 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 78986760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600000).

78986760 is an abundant number, since it is smaller than the sum of its proper divisors (180213240).

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

78986760 is a wasteful number, since it uses less digits than its factorization.

78986760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 78986760 is about 8887.4495779160. The cubic root of 78986760 is about 429.0600705924.

The spelling of 78986760 in words is "seventy-eight million, nine hundred eighty-six thousand, seven hundred sixty".