78029120 has 56 divisors (see below), whose sum is σ = 200110344. Its totient is φ = 28809216.

The previous prime is 78029089. The next prime is 78029131. The reversal of 78029120 is 2192087.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 75620416 = 1552^2 + 8696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5219 + ... + 13538.

It is an arithmetic number, because the mean of its divisors is an integer number (3573399).

Almost surely, 2^78029120 is an apocalyptic number.

It is an amenable number.

78029120 is an abundant number, since it is smaller than the sum of its proper divisors (122081224).

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

78029120 is a wasteful number, since it uses less digits than its factorization.

78029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18787 (or 18777 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 78029120 is about 8833.4093078494. The cubic root of 78029120 is about 427.3190324179.

The spelling of 78029120 in words is "seventy-eight million, twenty-nine thousand, one hundred twenty".