802073664 has 420 divisors, whose sum is σ = 2929810752. Its totient is φ = 212129280.

The previous prime is 802073663. The next prime is 802073681. The reversal of 802073664 is 466370208.

802073664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802073663) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25873329 + ... + 25873359.

Almost surely, 2^802073664 is an apocalyptic number.

802073664 is a gapful number since it is divisible by the number (84) 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 802073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464905376).

802073664 is an abundant number, since it is smaller than the sum of its proper divisors (2127737088).

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

802073664 is a wasteful number, since it uses less digits than its factorization.

802073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 802073664 is about 28320.9050702833. The cubic root of 802073664 is about 929.1191659961.

The spelling of 802073664 in words is "eight hundred two million, seventy-three thousand, six hundred sixty-four".