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880376640 = 26351131353
BaseRepresentation
bin110100011110010…
…111101101000000
32021100120202201020
4310132113231000
53300334023030
6223205305440
730550035513
oct6436275500
92240522636
10880376640
11411a4a000
12206a05280
13110515830
1484cccd7a
1552452510
hex34797b40

880376640 has 448 divisors, whose sum is σ = 3373477632. Its totient is φ = 193290240.

The previous prime is 880376591. The next prime is 880376663. The reversal of 880376640 is 46673088.

880376640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 880376592 and 880376601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16610854 + ... + 16610906.

It is an arithmetic number, because the mean of its divisors is an integer number (7530084).

Almost surely, 2880376640 is an apocalyptic number.

880376640 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 880376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686738816).

880376640 is an abundant number, since it is smaller than the sum of its proper divisors (2493100992).

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

880376640 is a wasteful number, since it uses less digits than its factorization.

880376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 880376640 is about 29671.1415351685. The cubic root of 880376640 is about 958.4206670924.

The spelling of 880376640 in words is "eight hundred eighty million, three hundred seventy-six thousand, six hundred forty".