808372950 has 384 divisors, whose sum is σ = 2776965120. Its totient is φ = 150374400.

The previous prime is 808372937. The next prime is 808373009. The reversal of 808372950 is 59273808.

808372950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×808372950³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4515961 + ... + 4516139.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2^808372950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808372950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388482560).

808372950 is an abundant number, since it is smaller than the sum of its proper divisors (1968592170).

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

808372950 is a wasteful number, since it uses less digits than its factorization.

808372950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 808372950 is about 28431.9002178891. The cubic root of 808372950 is about 931.5451824634.

The spelling of 808372950 in words is "eight hundred eight million, three hundred seventy-two thousand, nine hundred fifty".