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790428672 = 210331123113
BaseRepresentation
bin101111000111001…
…111110000000000
32001002022221022000
4233013033300000
53104322204142
6210233344000
725405350525
oct5707176000
92032287260
10790428672
113761a3840
121a0868000
13c79b1497
1476d9714c
15495d614c
hex2f1cfc00

790428672 has 352 divisors, whose sum is σ = 2688284160. Its totient is φ = 227082240.

The previous prime is 790428659. The next prime is 790428689. The reversal of 790428672 is 276824097.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6994888 + ... + 6995000.

Almost surely, 2790428672 is an apocalyptic number.

790428672 is a gapful number since it is divisible by the number (72) 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 790428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344142080).

790428672 is an abundant number, since it is smaller than the sum of its proper divisors (1897855488).

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

790428672 is a wasteful number, since it uses less digits than its factorization.

790428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 790428672 is about 28114.5633435769. The cubic root of 790428672 is about 924.6007225386.

The spelling of 790428672 in words is "seven hundred ninety million, four hundred twenty-eight thousand, six hundred seventy-two".