78386760 has 96 divisors (see below), whose sum is σ = 265861440. Its totient is φ = 19992192.

The previous prime is 78386753. The next prime is 78386771. The reversal of 78386760 is 6768387.

It is a super-2 number, since 2×78386760² = 12288968286595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3547 + ... + 13013.

It is an arithmetic number, because the mean of its divisors is an integer number (2769390).

Almost surely, 2^78386760 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 78386760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132930720).

78386760 is an abundant number, since it is smaller than the sum of its proper divisors (187474680).

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

78386760 is a wasteful number, since it uses less digits than its factorization.

78386760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 78386760 is about 8853.6297641137. The cubic root of 78386760 is about 427.9708979543.

The spelling of 78386760 in words is "seventy-eight million, three hundred eighty-six thousand, seven hundred sixty".