120764000 has 192 divisors, whose sum is σ = 358525440. Its totient is φ = 39052800.

The previous prime is 120763999. The next prime is 120764023. The reversal of 120764000 is 467021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 531887 + ... + 532113.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^120764000 is an apocalyptic number.

120764000 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 120764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

120764000 is an abundant number, since it is smaller than the sum of its proper divisors (237761440).

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

120764000 is a wasteful number, since it uses less digits than its factorization.

120764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 120764000 is about 10989.2674915119. The cubic root of 120764000 is about 494.2869712255.

The spelling of 120764000 in words is "one hundred twenty million, seven hundred sixty-four thousand".