4290772800 has 168 divisors, whose sum is σ = 14905670976. Its totient is φ = 1076879360.

The previous prime is 4290772777. The next prime is 4290772823. The reversal of 4290772800 is 82770924.

It is an interprime number because it is at equal distance from previous prime (4290772777) and next prime (4290772823).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55309 + ... + 107891.

It is an arithmetic number, because the mean of its divisors is an integer number (88724232).

Almost surely, 2^4290772800 is an apocalyptic number.

4290772800 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 4290772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452835488).

4290772800 is an abundant number, since it is smaller than the sum of its proper divisors (10614898176).

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

4290772800 is a wasteful number, since it uses less digits than its factorization.

4290772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52625 (or 52610 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 4290772800 is about 65503.9907181234. The cubic root of 4290772800 is about 1624.9693469563.

The spelling of 4290772800 in words is "four billion, two hundred ninety million, seven hundred seventy-two thousand, eight hundred".