1772616960 has 432 divisors, whose sum is σ = 6562221120. Its totient is φ = 457850880.

The previous prime is 1772616953. The next prime is 1772616997. The reversal of 1772616960 is 696162771.

It is a happy number.

1772616960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12752571 + ... + 12752709.

Almost surely, 2^1772616960 is an apocalyptic number.

1772616960 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 1772616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281110560).

1772616960 is an abundant number, since it is smaller than the sum of its proper divisors (4789604160).

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

1772616960 is an equidigital number, since it uses as much as digits as its factorization.

1772616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1772616960 is about 42102.4578854964. The cubic root of 1772616960 is about 1210.2403638785.

The spelling of 1772616960 in words is "one billion, seven hundred seventy-two million, six hundred sixteen thousand, nine hundred sixty".