78495120 has 360 divisors, whose sum is σ = 312589368. Its totient is φ = 17571840.

The previous prime is 78495097. The next prime is 78495121. The reversal of 78495120 is 2159487.

It can be written as a sum of positive squares in 4 ways, for example, as 23853456 + 54641664 = 4884^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×78495120² = 12322967727628800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78495121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1481014 + ... + 1481066.

Almost surely, 2^78495120 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 78495120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156294684).

78495120 is an abundant number, since it is smaller than the sum of its proper divisors (234094248).

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

78495120 is a wasteful number, since it uses less digits than its factorization.

78495120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 78495120 is about 8859.7471747223. The cubic root of 78495120 is about 428.1680127634.

The spelling of 78495120 in words is "seventy-eight million, four hundred ninety-five thousand, one hundred twenty".