78295360 has 224 divisors, whose sum is σ = 230428800. Its totient is φ = 24944640.

The previous prime is 78295339. The next prime is 78295403. The reversal of 78295360 is 6359287.

It is a super-2 number, since 2×78295360² = 12260326795059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1327011 + ... + 1327069.

It is an arithmetic number, because the mean of its divisors is an integer number (1028700).

Almost surely, 2^78295360 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 78295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

78295360 is an abundant number, since it is smaller than the sum of its proper divisors (152133440).

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

78295360 is a wasteful number, since it uses less digits than its factorization.

78295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 78295360 is about 8848.4665338125. The cubic root of 78295360 is about 427.8044933497.

The spelling of 78295360 in words is "seventy-eight million, two hundred ninety-five thousand, three hundred sixty".