835978752 has 320 divisors, whose sum is σ = 2899100160. Its totient is φ = 232906752.

The previous prime is 835978751. The next prime is 835978763. The reversal of 835978752 is 257879538.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (835978751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128623 + ... + 5128785.

It is an arithmetic number, because the mean of its divisors is an integer number (9059688).

Almost surely, 2^835978752 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 835978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449550080).

835978752 is an abundant number, since it is smaller than the sum of its proper divisors (2063121408).

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

835978752 is a wasteful number, since it uses less digits than its factorization.

835978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 835978752 is about 28913.2971485440. The cubic root of 835978752 is about 942.0307507508.

The spelling of 835978752 in words is "eight hundred thirty-five million, nine hundred seventy-eight thousand, seven hundred fifty-two".