802830465024 has 384 divisors, whose sum is σ = 2604026880000. Its totient is φ = 214719528960.

The previous prime is 802830465013. The next prime is 802830465067. The reversal of 802830465024 is 420564038208.

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139644102 + ... + 139649850.

It is an arithmetic number, because the mean of its divisors is an integer number (6781320000).

Almost surely, 2^802830465024 is an apocalyptic number.

802830465024 is a gapful number since it is divisible by the number (84) 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 802830465024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302013440000).

802830465024 is an abundant number, since it is smaller than the sum of its proper divisors (1801196414976).

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

802830465024 is a wasteful number, since it uses less digits than its factorization.

802830465024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 802830465024 in words is "eight hundred two billion, eight hundred thirty million, four hundred sixty-five thousand, twenty-four".