78513120 has 144 divisors (see below), whose sum is σ = 306240480. Its totient is φ = 17943552.

The previous prime is 78513107. The next prime is 78513133. The reversal of 78513120 is 2131587.

It is an interprime number because it is at equal distance from previous prime (78513107) and next prime (78513133).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6186 + ... + 13974.

It is an arithmetic number, because the mean of its divisors is an integer number (2126670).

Almost surely, 2^78513120 is an apocalyptic number.

78513120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153120240).

78513120 is an abundant number, since it is smaller than the sum of its proper divisors (227727360).

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

78513120 is a wasteful number, since it uses less digits than its factorization.

78513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 78513120 is about 8860.7629468348. The cubic root of 78513120 is about 428.2007385141.

The spelling of 78513120 in words is "seventy-eight million, five hundred thirteen thousand, one hundred twenty".