801377136 has 120 divisors (see below), whose sum is σ = 2698101120. Its totient is φ = 216908928.

The previous prime is 801377123. The next prime is 801377147. The reversal of 801377136 is 631773108.

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

It is a self number, because there is not a number n which added to its sum of digits gives 801377136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1770 + ... + 40073.

It is an arithmetic number, because the mean of its divisors is an integer number (22484176).

Almost surely, 2^801377136 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 801377136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349050560).

801377136 is an abundant number, since it is smaller than the sum of its proper divisors (1896723984).

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

801377136 is a wasteful number, since it uses less digits than its factorization.

801377136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41883 (or 41874 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 801377136 is about 28308.6053347741. The cubic root of 801377136 is about 928.8501362854.

The spelling of 801377136 in words is "eight hundred one million, three hundred seventy-seven thousand, one hundred thirty-six".