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876272640 = 2103589641
BaseRepresentation
bin110100001110101…
…101110000000000
32021001212021002020
4310032231300000
53243311211030
6222541321440
730500123505
oct6416556000
92231767066
10876272640
1140a6a6671
12205566280
1310c709829
14845414ac
1551de1510
hex343adc00

876272640 has 176 divisors, whose sum is σ = 2838615840. Its totient is φ = 230686720.

The previous prime is 876272627. The next prime is 876272651. The reversal of 876272640 is 46272678.

It is a super-2 number, since 2×8762726402 = 1535707479225139200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 876272592 and 876272601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366720 + ... + 1367360.

Almost surely, 2876272640 is an apocalyptic number.

876272640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419307920).

876272640 is an abundant number, since it is smaller than the sum of its proper divisors (1962343200).

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

876272640 is a wasteful number, since it uses less digits than its factorization.

876272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 876272640 is about 29601.9026415533. The cubic root of 876272640 is about 956.9290758479.

The spelling of 876272640 in words is "eight hundred seventy-six million, two hundred seventy-two thousand, six hundred forty".