1790268480 has 1344 divisors, whose sum is σ = 8946782208. Its totient is φ = 328458240.

The previous prime is 1790268463. The next prime is 1790268509. The reversal of 1790268480 is 848620971.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1790268480² = 6410122460963020800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77837749 + ... + 77837771.

It is an arithmetic number, because the mean of its divisors is an integer number (6656832).

Almost surely, 2^1790268480 is an apocalyptic number.

1790268480 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 1790268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473391104).

1790268480 is an abundant number, since it is smaller than the sum of its proper divisors (7156513728).

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

1790268480 is a wasteful number, since it uses less digits than its factorization.

1790268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1790268480 is about 42311.5643766571. The cubic root of 1790268480 is about 1214.2442487999.

The spelling of 1790268480 in words is "one billion, seven hundred ninety million, two hundred sixty-eight thousand, four hundred eighty".