120877680 has 320 divisors, whose sum is σ = 484540416. Its totient is φ = 24192000.

The previous prime is 120877657. The next prime is 120877697. The reversal of 120877680 is 86778021.

It is a super-2 number, since 2×120877680² = 29222827044364800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 572775 + ... + 572985.

Almost surely, 2^120877680 is an apocalyptic number.

120877680 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 120877680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242270208).

120877680 is an abundant number, since it is smaller than the sum of its proper divisors (363662736).

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

120877680 is a wasteful number, since it uses less digits than its factorization.

120877680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 120877680 is about 10994.4385941257. The cubic root of 120877680 is about 494.4420199725.

The spelling of 120877680 in words is "one hundred twenty million, eight hundred seventy-seven thousand, six hundred eighty".