78525120 has 112 divisors (see below), whose sum is σ = 251386848. Its totient is φ = 20766720.

The previous prime is 78525113. The next prime is 78525121. The reversal of 78525120 is 2152587.

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 (78525121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150460 + ... + 150980.

Almost surely, 2^78525120 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 78525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125693424).

78525120 is an abundant number, since it is smaller than the sum of its proper divisors (172861728).

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

78525120 is a wasteful number, since it uses less digits than its factorization.

78525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 78525120 is about 8861.4400635563. The cubic root of 78525120 is about 428.2225529026. Note that the first 3 decimals are identical.

The spelling of 78525120 in words is "seventy-eight million, five hundred twenty-five thousand, one hundred twenty".