1602880000 has 100 divisors (see below), whose sum is σ = 4002804630. Its totient is φ = 641024000.

The previous prime is 1602879991. The next prime is 1602880001. The reversal of 1602880000 is 882061.

It can be written as a sum of positive squares in 5 ways, for example, as 14379264 + 1588500736 = 3792^2 + 39856^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1602880001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 317496 + ... + 322504.

Almost surely, 2^1602880000 is an apocalyptic number.

1602880000 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 1602880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001402315).

1602880000 is an abundant number, since it is smaller than the sum of its proper divisors (2399924630).

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

1602880000 is an frugal number, since it uses more digits than its factorization.

1602880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1602880000 is about 40035.9838145636. The cubic root of 1602880000 is about 1170.3084389043.

The spelling of 1602880000 in words is "one billion, six hundred two million, eight hundred eighty thousand".