78120403380 has 72 divisors (see below), whose sum is σ = 237187477800. Its totient is φ = 20812568832.

The previous prime is 78120403369. The next prime is 78120403391. The reversal of 78120403380 is 8330402187.

78120403380 is a `hidden beast` number, since 78 + 1 + 204 + 0 + 3 + 380 = 666.

It is an interprime number because it is at equal distance from previous prime (78120403369) and next prime (78120403391).

It can be written as a sum of positive squares in 4 ways, for example, as 1622800656 + 76497602724 = 40284^2 + 276582^2 .

It is a super-2 number, since 2×78120403380² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10575 + ... + 395414.

It is an arithmetic number, because the mean of its divisors is an integer number (3294270525).

Almost surely, 2^78120403380 is an apocalyptic number.

It is an amenable number.

78120403380 is an abundant number, since it is smaller than the sum of its proper divisors (159067074420).

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

78120403380 is a wasteful number, since it uses less digits than its factorization.

78120403380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407073 (or 407068 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 78120403380 in words is "seventy-eight billion, one hundred twenty million, four hundred three thousand, three hundred eighty".