78038420 has 48 divisors (see below), whose sum is σ = 170810640. Its totient is φ = 29912064.

The previous prime is 78038413. The next prime is 78038423. The reversal of 78038420 is 2483087.

It can be written as a sum of positive squares in 8 ways, for example, as 633616 + 77404804 = 796^2 + 8798^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78038423) 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, 90632 + ... + 91488.

It is an arithmetic number, because the mean of its divisors is an integer number (3558555).

Almost surely, 2^78038420 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 78038420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85405320).

78038420 is an abundant number, since it is smaller than the sum of its proper divisors (92772220).

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

78038420 is a wasteful number, since it uses less digits than its factorization.

78038420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 78038420 is about 8833.9357027318. The cubic root of 78038420 is about 427.3360085978.

The spelling of 78038420 in words is "seventy-eight million, thirty-eight thousand, four hundred twenty".