802050480 has 960 divisors, whose sum is σ = 3810613248. Its totient is φ = 145981440.

The previous prime is 802050421. The next prime is 802050481. The reversal of 802050480 is 84050208.

802050480 is a `hidden beast` number, since 80 + 2 + 0 + 504 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802050481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21677022 + ... + 21677058.

Almost surely, 2^802050480 is an apocalyptic number.

802050480 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 802050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905306624).

802050480 is an abundant number, since it is smaller than the sum of its proper divisors (3008562768).

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

802050480 is a wasteful number, since it uses less digits than its factorization.

802050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 802050480 is about 28320.4957583726. The cubic root of 802050480 is about 929.1102138233.

The spelling of 802050480 in words is "eight hundred two million, fifty thousand, four hundred eighty".