802693920 has 96 divisors (see below), whose sum is σ = 2889710208. Its totient is φ = 183472128.

The previous prime is 802693919. The next prime is 802693949. The reversal of 802693920 is 29396208.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116089 + ... + 122808.

It is an arithmetic number, because the mean of its divisors is an integer number (30101148).

Almost surely, 2^802693920 is an apocalyptic number.

802693920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

802693920 is an abundant number, since it is smaller than the sum of its proper divisors (2087016288).

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

802693920 is a wasteful number, since it uses less digits than its factorization.

802693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238922 (or 238914 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 802693920 is about 28331.8534515481. The cubic root of 802693920 is about 929.3586050382.

The spelling of 802693920 in words is "eight hundred two million, six hundred ninety-three thousand, nine hundred twenty".