802755120 has 80 divisors (see below), whose sum is σ = 2529382752. Its totient is φ = 210554880.

The previous prime is 802755101. The next prime is 802755127. The reversal of 802755120 is 21557208.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (802755127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12777 + ... + 42056.

Almost surely, 2^802755120 is an apocalyptic number.

802755120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

802755120 is an abundant number, since it is smaller than the sum of its proper divisors (1726627632).

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

802755120 is a wasteful number, since it uses less digits than its factorization.

802755120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54910 (or 54904 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 802755120 is about 28332.9334873747. The cubic root of 802755120 is about 929.3822235474.

The spelling of 802755120 in words is "eight hundred two million, seven hundred fifty-five thousand, one hundred twenty".