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796541040 = 24345831481
BaseRepresentation
bin101111011110100…
…100000001110000
32001111211110220000
4233132210001300
53112403303130
6211012350000
725511326041
oct5736440160
92044743800
10796541040
11379699089
121a2915300
13c9041679
1477b088c8
1549de2260
hex2f7a4070

796541040 has 200 divisors, whose sum is σ = 2801726928. Its totient is φ = 209710080.

The previous prime is 796541027. The next prime is 796541041. The reversal of 796541040 is 40145697.

796541040 is a `hidden beast` number, since 79 + 6 + 541 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 796540986 and 796541004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796541041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 537100 + ... + 538580.

Almost surely, 2796541040 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 796541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400863464).

796541040 is an abundant number, since it is smaller than the sum of its proper divisors (2005185888).

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

796541040 is a wasteful number, since it uses less digits than its factorization.

796541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 796541040 is about 28223.0586577713. The cubic root of 796541040 is about 926.9779113095.

The spelling of 796541040 in words is "seven hundred ninety-six million, five hundred forty-one thousand, forty".