180077040 has 480 divisors, whose sum is σ = 748077120. Its totient is φ = 39536640.

The previous prime is 180077017. The next prime is 180077059. The reversal of 180077040 is 40770081.

It is a super-3 number, since 3×180077040³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 180076995 and 180077013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3397654 + ... + 3397706.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 2^180077040 is an apocalyptic number.

180077040 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 180077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374038560).

180077040 is an abundant number, since it is smaller than the sum of its proper divisors (568000080).

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

180077040 is a wasteful number, since it uses less digits than its factorization.

180077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 180077040 is about 13419.2786691387. The cubic root of 180077040 is about 564.7021585232.

The spelling of 180077040 in words is "one hundred eighty million, seventy-seven thousand, forty".