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80027695440 = 2436571171251
BaseRepresentation
bin100101010001000000…
…1011011100101010000
321122120021020011000000
41022202001123211100
52302344042223230
6100433023130000
75532106121220
oct1124201334520
9248507204000
1080027695440
1130a37603080
1213615143900
137714ab0b54
143c32708080
152135b3eb60
hex12a205b950

80027695440 has 1120 divisors, whose sum is σ = 354109335552. Its totient is φ = 16329600000.

The previous prime is 80027695439. The next prime is 80027695441. The reversal of 80027695440 is 4459672008.

It is a happy number.

80027695440 is a `hidden beast` number, since 80 + 0 + 27 + 6 + 9 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80027695439) and next prime (80027695441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80027695441) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 318835315 + ... + 318835565.

Almost surely, 280027695440 is an apocalyptic number.

80027695440 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 80027695440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177054667776).

80027695440 is an abundant number, since it is smaller than the sum of its proper divisors (274081640112).

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

80027695440 is a wasteful number, since it uses less digits than its factorization.

80027695440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 80027695440 in words is "eighty billion, twenty-seven million, six hundred ninety-five thousand, four hundred forty".