78075360 has 384 divisors, whose sum is σ = 313528320. Its totient is φ = 17971200.

The previous prime is 78075359. The next prime is 78075377. The reversal of 78075360 is 6357087.

78075360 = T₄₉₉ + T₅₀₀ + ... + T₈₃₉.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473094 + ... + 1473146.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^78075360 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 78075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

78075360 is an abundant number, since it is smaller than the sum of its proper divisors (235452960).

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

78075360 is a wasteful number, since it uses less digits than its factorization.

78075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 78075360 is about 8836.0262561855. The cubic root of 78075360 is about 427.4034253994.

The spelling of 78075360 in words is "seventy-eight million, seventy-five thousand, three hundred sixty".