802488960 has 384 divisors, whose sum is σ = 3412805760. Its totient is φ = 169205760.

The previous prime is 802488937. The next prime is 802488989. The reversal of 802488960 is 69884208.

It is a happy number.

802488960 is a `hidden beast` number, since 80 + 2 + 488 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 523395 + ... + 524925.

It is an arithmetic number, because the mean of its divisors is an integer number (8887515).

Almost surely, 2^802488960 is an apocalyptic number.

802488960 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 802488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706402880).

802488960 is an abundant number, since it is smaller than the sum of its proper divisors (2610316800).

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

802488960 is a wasteful number, since it uses less digits than its factorization.

802488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 802488960 is about 28328.2360905158. The cubic root of 802488960 is about 929.2794974441.

The spelling of 802488960 in words is "eight hundred two million, four hundred eighty-eight thousand, nine hundred sixty".