802751040 has 448 divisors, whose sum is σ = 3488862720. Its totient is φ = 169205760.

The previous prime is 802751021. The next prime is 802751057. The reversal of 802751040 is 40157208.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 802750995 and 802751013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785730 + ... + 786750.

It is an arithmetic number, because the mean of its divisors is an integer number (7787640).

Almost surely, 2^802751040 is an apocalyptic number.

802751040 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 802751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744431360).

802751040 is an abundant number, since it is smaller than the sum of its proper divisors (2686111680).

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

802751040 is a wasteful number, since it uses less digits than its factorization.

802751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 802751040 is about 28332.8614862671. The cubic root of 802751040 is about 929.3806490175.

The spelling of 802751040 in words is "eight hundred two million, seven hundred fifty-one thousand, forty".