78453120 has 128 divisors (see below), whose sum is σ = 258876000. Its totient is φ = 20185088.

The previous prime is 78453103. The next prime is 78453127. The reversal of 78453120 is 2135487.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78453127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54976 + ... + 56384.

Almost surely, 2^78453120 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 78453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129438000).

78453120 is an abundant number, since it is smaller than the sum of its proper divisors (180422880).

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

78453120 is a wasteful number, since it uses less digits than its factorization.

78453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 78453120 is about 8857.3765867778. The cubic root of 78453120 is about 428.0916332175.

The spelling of 78453120 in words is "seventy-eight million, four hundred fifty-three thousand, one hundred twenty".