120400080 has 80 divisors (see below), whose sum is σ = 377011584. Its totient is φ = 31782400.

The previous prime is 120400079. The next prime is 120400081. The reversal of 120400080 is 80004021.

It is an interprime number because it is at equal distance from previous prime (120400079) and next prime (120400081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120400081) 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, 21757 + ... + 26723.

Almost surely, 2^120400080 is an apocalyptic number.

120400080 is a gapful number since it is divisible by the number (10) 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 120400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188505792).

120400080 is an abundant number, since it is smaller than the sum of its proper divisors (256611504).

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

120400080 is a wasteful number, since it uses less digits than its factorization.

120400080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 120400080 is about 10972.6970248886. The cubic root of 120400080 is about 493.7899635441.

The spelling of 120400080 in words is "one hundred twenty million, four hundred thousand, eighty".