4270780800 has 1152 divisors, whose sum is σ = 19267204320. Its totient is φ = 884736000.

The previous prime is 4270780753. The next prime is 4270780823. The reversal of 4270780800 is 80870724.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70012770 + ... + 70012830.

Almost surely, 2^4270780800 is an apocalyptic number.

4270780800 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 4270780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9633602160).

4270780800 is an abundant number, since it is smaller than the sum of its proper divisors (14996423520).

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

4270780800 is a wasteful number, since it uses less digits than its factorization.

4270780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4270780800 is about 65351.2111593963. The cubic root of 4270780800 is about 1622.4416769752.

The spelling of 4270780800 in words is "four billion, two hundred seventy million, seven hundred eighty thousand, eight hundred".