802373040 has 600 divisors, whose sum is σ = 3429914400. Its totient is φ = 173746944.

The previous prime is 802372997. The next prime is 802373053. The reversal of 802373040 is 40373208.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 802372995 and 802373013.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42230151 + ... + 42230169.

It is an arithmetic number, because the mean of its divisors is an integer number (5716524).

Almost surely, 2^802373040 is an apocalyptic number.

802373040 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 802373040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714957200).

802373040 is an abundant number, since it is smaller than the sum of its proper divisors (2627541360).

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

802373040 is a wasteful number, since it uses less digits than its factorization.

802373040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 802373040 is about 28326.1900014810. The cubic root of 802373040 is about 929.2347503004.

The spelling of 802373040 in words is "eight hundred two million, three hundred seventy-three thousand, forty".