119077920 has 144 divisors (see below), whose sum is σ = 437680152. Its totient is φ = 29306880.

The previous prime is 119077919. The next prime is 119077927. The reversal of 119077920 is 29770911.

It can be written as a sum of positive squares in 4 ways, for example, as 58798224 + 60279696 = 7668^2 + 7764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119077927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15540 + ... + 21900.

Almost surely, 2^119077920 is an apocalyptic number.

119077920 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 119077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218840076).

119077920 is an abundant number, since it is smaller than the sum of its proper divisors (318602232).

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

119077920 is a wasteful number, since it uses less digits than its factorization.

119077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 119077920 is about 10912.2829875329. The cubic root of 119077920 is about 491.9758068611.

The spelling of 119077920 in words is "one hundred nineteen million, seventy-seven thousand, nine hundred twenty".