805672980 has 240 divisors, whose sum is σ = 3015048960. Its totient is φ = 176090112.

The previous prime is 805672969. The next prime is 805672999. The reversal of 805672980 is 89276508.

805672980 is a `hidden beast` number, since 8 + 0 + 567 + 2 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259276 + ... + 262364.

It is an arithmetic number, because the mean of its divisors is an integer number (12562704).

Almost surely, 2^805672980 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 805672980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507524480).

805672980 is an abundant number, since it is smaller than the sum of its proper divisors (2209375980).

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

805672980 is a wasteful number, since it uses less digits than its factorization.

805672980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 805672980 is about 28384.3791547393. The cubic root of 805672980 is about 930.5069036789.

The spelling of 805672980 in words is "eight hundred five million, six hundred seventy-two thousand, nine hundred eighty".