802924416 has 192 divisors, whose sum is σ = 2796374880. Its totient is φ = 215875584.

The previous prime is 802924403. The next prime is 802924427. The reversal of 802924416 is 614429208.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134160 + ... + 140016.

Almost surely, 2^802924416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398187440).

802924416 is an abundant number, since it is smaller than the sum of its proper divisors (1993450464).

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

802924416 is a wasteful number, since it uses less digits than its factorization.

802924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 802924416 is about 28335.9209485063. The cubic root of 802924416 is about 929.4475525748.

The spelling of 802924416 in words is "eight hundred two million, nine hundred twenty-four thousand, four hundred sixteen".