120677760 has 384 divisors, whose sum is σ = 494544960. Its totient is φ = 26542080.

The previous prime is 120677743. The next prime is 120677771. The reversal of 120677760 is 67776021.

120677760 = 44³ + 45³ + ... + 148³.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1653084 + ... + 1653156.

Almost surely, 2^120677760 is an apocalyptic number.

120677760 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 120677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247272480).

120677760 is an abundant number, since it is smaller than the sum of its proper divisors (373867200).

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

120677760 is a wasteful number, since it uses less digits than its factorization.

120677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 120677760 is about 10985.3429623294. The cubic root of 120677760 is about 494.1692831192.

The spelling of 120677760 in words is "one hundred twenty million, six hundred seventy-seven thousand, seven hundred sixty".