805406976 has 324 divisors, whose sum is σ = 2671761456. Its totient is φ = 241781760.

The previous prime is 805406957. The next prime is 805406983. The reversal of 805406976 is 679604508.

It is a tau number, because it is divible by the number of its divisors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7527115 + ... + 7527221.

Almost surely, 2^805406976 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 805406976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335880728).

805406976 is an abundant number, since it is smaller than the sum of its proper divisors (1866354480).

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

805406976 is a wasteful number, since it uses less digits than its factorization.

805406976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 805406976 is about 28379.6930215956. The cubic root of 805406976 is about 930.4044858617.

The spelling of 805406976 in words is "eight hundred five million, four hundred six thousand, nine hundred seventy-six".