802055520 has 432 divisors, whose sum is σ = 3309637968. Its totient is φ = 182891520.

The previous prime is 802055509. The next prime is 802055533. The reversal of 802055520 is 25550208.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1904910 + ... + 1905330.

It is an arithmetic number, because the mean of its divisors is an integer number (7661199).

Almost surely, 2^802055520 is an apocalyptic number.

802055520 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 802055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654818984).

802055520 is an abundant number, since it is smaller than the sum of its proper divisors (2507582448).

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

802055520 is a wasteful number, since it uses less digits than its factorization.

802055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 802055520 is about 28320.5847397260. The cubic root of 802055520 is about 929.1121599625.

The spelling of 802055520 in words is "eight hundred two million, fifty-five thousand, five hundred twenty".