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77328804 = 22371974673
BaseRepresentation
bin1001001101111…
…11000110100100
312101111201011210
410212333012210
5124244010204
611401231420
71626166260
oct446770644
9171451153
1077328804
113a717303
1221a92570
13130365b7
14a3ad0a0
156bc7389
hex49bf1a4

77328804 has 48 divisors (see below), whose sum is σ = 207301248. Its totient is φ = 21977088.

The previous prime is 77328791. The next prime is 77328821. The reversal of 77328804 is 40882377.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14212 + ... + 18884.

It is an arithmetic number, because the mean of its divisors is an integer number (4318776).

Almost surely, 277328804 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 77328804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103650624).

77328804 is an abundant number, since it is smaller than the sum of its proper divisors (129972444).

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

77328804 is a wasteful number, since it uses less digits than its factorization.

77328804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 77328804 is about 8793.6797758390. The cubic root of 77328804 is about 426.0367840573.

The spelling of 77328804 in words is "seventy-seven million, three hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 197 394 591 788 1182 1379 2364 2758 4137 4673 5516 8274 9346 14019 16548 18692 28038 32711 56076 65422 98133 130844 196266 392532 920581 1841162 2761743 3682324 5523486 6444067 11046972 12888134 19332201 25776268 38664402 77328804