4287790080 has 660 divisors, whose sum is σ = 17958298248. Its totient is φ = 975421440.

The previous prime is 4287790069. The next prime is 4287790093. The reversal of 4287790080 is 800977824.

4287790080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 59 ways as a sum of consecutive naturals, for example, 20321175 + ... + 20321385.

Almost surely, 2^4287790080 is an apocalyptic number.

4287790080 is a gapful number since it is divisible by the number (40) 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 4287790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979149124).

4287790080 is an abundant number, since it is smaller than the sum of its proper divisors (13670508168).

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

4287790080 is a wasteful number, since it uses less digits than its factorization.

4287790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4287790080 is about 65481.2192922520. The cubic root of 4287790080 is about 1624.5927285461.

The spelling of 4287790080 in words is "four billion, two hundred eighty-seven million, seven hundred ninety thousand, eighty".