945766080 has 336 divisors, whose sum is σ = 3807707904. Its totient is φ = 210954240.

The previous prime is 945766069. The next prime is 945766099. The reversal of 945766080 is 80667549.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866335 + ... + 867425.

It is an arithmetic number, because the mean of its divisors is an integer number (11332464).

Almost surely, 2^945766080 is an apocalyptic number.

945766080 is a gapful number since it is divisible by the number (90) 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 945766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903853952).

945766080 is an abundant number, since it is smaller than the sum of its proper divisors (2861941824).

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

945766080 is a wasteful number, since it uses less digits than its factorization.

945766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 945766080 is about 30753.3100657474. The cubic root of 945766080 is about 981.5849958750.

The spelling of 945766080 in words is "nine hundred forty-five million, seven hundred sixty-six thousand, eighty".