78711360 has 448 divisors, whose sum is σ = 331817472. Its totient is φ = 15335424.

The previous prime is 78711337. The next prime is 78711397. The reversal of 78711360 is 6311787.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1485094 + ... + 1485146.

It is an arithmetic number, because the mean of its divisors is an integer number (740664).

Almost surely, 2^78711360 is an apocalyptic number.

78711360 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 78711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165908736).

78711360 is an abundant number, since it is smaller than the sum of its proper divisors (253106112).

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

78711360 is a wasteful number, since it uses less digits than its factorization.

78711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 78711360 is about 8871.9422901640. The cubic root of 78711360 is about 428.5608276743.

The spelling of 78711360 in words is "seventy-eight million, seven hundred eleven thousand, three hundred sixty".