120770000 has 100 divisors (see below), whose sum is σ = 315227220. Its totient is φ = 44544000.

The previous prime is 120769973. The next prime is 120770003. The reversal of 120770000 is 77021.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 120736144 + 33856 = 10988^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120770003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129536 + ... + 130464.

Almost surely, 2^120770000 is an apocalyptic number.

120770000 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 120770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157613610).

120770000 is an abundant number, since it is smaller than the sum of its proper divisors (194457220).

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

120770000 is an equidigital number, since it uses as much as digits as its factorization.

120770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 120770000 is about 10989.5404817490. The cubic root of 120770000 is about 494.2951570886.

The spelling of 120770000 in words is "one hundred twenty million, seven hundred seventy thousand".