1772406180 has 36 divisors (see below), whose sum is σ = 5376299292. Its totient is φ = 472641600.

The previous prime is 1772406161. The next prime is 1772406187. The reversal of 1772406180 is 816042771.

1772406180 is a `hidden beast` number, since 1 + 7 + 72 + 406 + 180 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1127347776 + 645058404 = 33576^2 + 25398^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (1772406187) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4923171 + ... + 4923530.

It is an arithmetic number, because the mean of its divisors is an integer number (149341647).

Almost surely, 2^1772406180 is an apocalyptic number.

1772406180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1772406180 is an abundant number, since it is smaller than the sum of its proper divisors (3603893112).

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

1772406180 is a wasteful number, since it uses less digits than its factorization.

1772406180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9846716 (or 9846711 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1772406180 is about 42099.9546318045. The cubic root of 1772406180 is about 1210.1923925116.

The spelling of 1772406180 in words is "one billion, seven hundred seventy-two million, four hundred six thousand, one hundred eighty".