1797950880 has 288 divisors, whose sum is σ = 6736504320. Its totient is φ = 433059840.

The previous prime is 1797950839. The next prime is 1797950881. The reversal of 1797950880 is 880597971.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1797950881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3532066 + ... + 3532574.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640).

Almost surely, 2^1797950880 is an apocalyptic number.

1797950880 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 1797950880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368252160).

1797950880 is an abundant number, since it is smaller than the sum of its proper divisors (4938553440).

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

1797950880 is a wasteful number, since it uses less digits than its factorization.

1797950880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The square root of 1797950880 is about 42402.2508836500. The cubic root of 1797950880 is about 1215.9786252591.

The spelling of 1797950880 in words is "one billion, seven hundred ninety-seven million, nine hundred fifty thousand, eight hundred eighty".