120762000 has 120 divisors (see below), whose sum is σ = 421844280. Its totient is φ = 32198400.

The previous prime is 120761947. The next prime is 120762011. The reversal of 120762000 is 267021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 118722816 = 1428^2 + 10896^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14646 + ... + 21354.

It is an arithmetic number, because the mean of its divisors is an integer number (3515369).

Almost surely, 2^120762000 is an apocalyptic number.

120762000 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 120762000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210922140).

120762000 is an abundant number, since it is smaller than the sum of its proper divisors (301082280).

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

120762000 is a wasteful number, since it uses less digits than its factorization.

120762000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 120762000 is about 10989.1764932592. The cubic root of 120762000 is about 494.2842425443.

The spelling of 120762000 in words is "one hundred twenty million, seven hundred sixty-two thousand".