77400804100 has 81 divisors (see below), whose sum is σ = 172222809717. Its totient is φ = 30193574880.

The previous prime is 77400804097. The next prime is 77400804121. The reversal of 77400804100 is 140800477.

The square root of 77400804100 is 278210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27864289476 + 49536514624 = 166926^2 + 222568^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119629977 + ... + 119630623.

Almost surely, 2^77400804100 is an apocalyptic number.

77400804100 is the 278210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77400804100

77400804100 is an abundant number, since it is smaller than the sum of its proper divisors (94822005617).

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

77400804100 is an equidigital number, since it uses as much as digits as its factorization.

77400804100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The spelling of 77400804100 in words is "seventy-seven billion, four hundred million, eight hundred four thousand, one hundred".