120764480 has 56 divisors (see below), whose sum is σ = 290340288. Its totient is φ = 47840768.

The previous prime is 120764461. The next prime is 120764489. The reversal of 120764480 is 84467021.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (120764489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32477 + ... + 36003.

It is an arithmetic number, because the mean of its divisors is an integer number (5184648).

Almost surely, 2^120764480 is an apocalyptic number.

120764480 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 120764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145170144).

120764480 is an abundant number, since it is smaller than the sum of its proper divisors (169575808).

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

120764480 is a wasteful number, since it uses less digits than its factorization.

120764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 120764480 is about 10989.2893309804. The cubic root of 120764480 is about 494.2876261046.

The spelling of 120764480 in words is "one hundred twenty million, seven hundred sixty-four thousand, four hundred eighty".