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78055000380 = 22345716634139
BaseRepresentation
bin100100010110001110…
…0001100100100111100
321110110210020212010000
41020230130030210330
52234324040003010
655505153314300
75432163361530
oct1105434144474
9243423225100
1078055000380
1130115016085
1213164565990
13748c1a6b76
143ac6719bc0
15206c8727c0
hex122c70c93c

78055000380 has 240 divisors, whose sum is σ = 280077557760. Its totient is φ = 17826106752.

The previous prime is 78055000367. The next prime is 78055000403. The reversal of 78055000380 is 8300055087.

It is a happy number.

78055000380 is a `hidden beast` number, since 78 + 0 + 5 + 500 + 0 + 3 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18856351 + ... + 18860489.

It is an arithmetic number, because the mean of its divisors is an integer number (1166989824).

Almost surely, 278055000380 is an apocalyptic number.

78055000380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

78055000380 is the 139692-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78055000380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140038778880).

78055000380 is an abundant number, since it is smaller than the sum of its proper divisors (202022557380).

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

78055000380 is a wasteful number, since it uses less digits than its factorization.

78055000380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 78055000380 in words is "seventy-eight billion, fifty-five million, three hundred eighty", and thus it is an aban number.