802656960 has 224 divisors, whose sum is σ = 3007229952. Its totient is φ = 177500160.

The previous prime is 802656949. The next prime is 802656961. The reversal of 802656960 is 69656208.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (802656961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206394 + ... + 210246.

Almost surely, 2^802656960 is an apocalyptic number.

802656960 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 802656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503614976).

802656960 is an abundant number, since it is smaller than the sum of its proper divisors (2204572992).

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

802656960 is a wasteful number, since it uses less digits than its factorization.

802656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 802656960 is about 28331.2011746767. The cubic root of 802656960 is about 929.3443407297.

The spelling of 802656960 in words is "eight hundred two million, six hundred fifty-six thousand, nine hundred sixty".