120772080 has 640 divisors, whose sum is σ = 539965440. Its totient is φ = 24330240.

The previous prime is 120772073. The next prime is 120772087. The reversal of 120772080 is 80277021.

It is an interprime number because it is at equal distance from previous prime (120772073) and next prime (120772087).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120772087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5250949 + ... + 5250971.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^120772080 is an apocalyptic number.

120772080 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 120772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

120772080 is an abundant number, since it is smaller than the sum of its proper divisors (419193360).

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

120772080 is a wasteful number, since it uses less digits than its factorization.

120772080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 120772080 is about 10989.6351167816. The cubic root of 120772080 is about 494.2979947912.

The spelling of 120772080 in words is "one hundred twenty million, seven hundred seventy-two thousand, eighty".