7800465330 has 288 divisors, whose sum is σ = 24227356608. Its totient is φ = 1735776000.

The previous prime is 7800465307. The next prime is 7800465377. The reversal of 7800465330 is 335640087.

It is a happy number.

7800465330 is a `hidden beast` number, since 7 + 80 + 0 + 46 + 533 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36968925 + ... + 36969135.

It is an arithmetic number, because the mean of its divisors is an integer number (84122766).

Almost surely, 2^7800465330 is an apocalyptic number.

7800465330 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7800465330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113678304).

7800465330 is an abundant number, since it is smaller than the sum of its proper divisors (16426891278).

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

7800465330 is a wasteful number, since it uses less digits than its factorization.

7800465330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7800465330 is about 88320.2430363504. The cubic root of 7800465330 is about 1983.2319194589.

The spelling of 7800465330 in words is "seven billion, eight hundred million, four hundred sixty-five thousand, three hundred thirty".