801264960 has 280 divisors, whose sum is σ = 3002097120. Its totient is φ = 202300416.

The previous prime is 801264917. The next prime is 801265027. The reversal of 801264960 is 69462108.

801264960 = T₄₈₅ + T₄₈₆ + ... + T₁₇₀₀.

801264960 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 649 + 6 + 0 = 666.

It is a super-2 number, since 2×801264960² = 1284051072247603200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 491667 + ... + 493293.

Almost surely, 2^801264960 is an apocalyptic number.

801264960 is a gapful number since it is divisible by the number (80) 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 801264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501048560).

801264960 is an abundant number, since it is smaller than the sum of its proper divisors (2200832160).

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

801264960 is a wasteful number, since it uses less digits than its factorization.

801264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 801264960 is about 28306.6239597731. The cubic root of 801264960 is about 928.8067944138.

The spelling of 801264960 in words is "eight hundred one million, two hundred sixty-four thousand, nine hundred sixty".