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78076190304 = 25347311271093
BaseRepresentation
bin100100010110110110…
…1000001111001100000
321110112021010102020000
41020231231001321200
52234400001042204
655511231420000
75432541444660
oct1105555017140
9243467112200
1078076190304
1130125a79412
121316b684600
1374936b5a98
143ac94741a0
15206e65b039
hex122db41e60

78076190304 has 480 divisors, whose sum is σ = 273270767616. Its totient is φ = 21398307840.

The previous prime is 78076190279. The next prime is 78076190341. The reversal of 78076190304 is 40309167087.

It is a super-2 number, since 2×780761903042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78076190304.

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, 71432382 + ... + 71433474.

Almost surely, 278076190304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78076190304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136635383808).

78076190304 is an abundant number, since it is smaller than the sum of its proper divisors (195194577312).

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

78076190304 is a wasteful number, since it uses less digits than its factorization.

78076190304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 78076190304 in words is "seventy-eight billion, seventy-six million, one hundred ninety thousand, three hundred four".