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774023040 = 27375779
BaseRepresentation
bin101110001000101…
…010011110000000
31222221110110000000
4232020222132000
53041122214130
6204450000000
725116041640
oct5610523600
91887413000
10774023040
11367a08a6a
12197276000
13c44890cb
1474b26520
1547e45260
hex2e22a780

774023040 has 512 divisors, whose sum is σ = 3211776000. Its totient is φ = 174680064.

The previous prime is 774023009. The next prime is 774023053. The reversal of 774023040 is 40320477.

It is a super-2 number, since 2×7740230402 = 1198223332901683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 774022995 and 774023013.

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, 9797721 + ... + 9797799.

It is an arithmetic number, because the mean of its divisors is an integer number (6273000).

Almost surely, 2774023040 is an apocalyptic number.

774023040 is a gapful number since it is divisible by the number (70) 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 774023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605888000).

774023040 is an abundant number, since it is smaller than the sum of its proper divisors (2437752960).

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

774023040 is an frugal number, since it uses more digits than its factorization.

774023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 774023040 is about 27821.2695612547. The cubic root of 774023040 is about 918.1591419602.

The spelling of 774023040 in words is "seven hundred seventy-four million, twenty-three thousand, forty".