77438204480 has 280 divisors, whose sum is σ = 231697801272. Its totient is φ = 24504754176.

The previous prime is 77438204471. The next prime is 77438204489. The reversal of 77438204480 is 8440283477.

It is an interprime number because it is at equal distance from previous prime (77438204471) and next prime (77438204489).

It can be written as a sum of positive squares in 4 ways, for example, as 16835581504 + 60602622976 = 129752^2 + 246176^2 .

It is a tau number, because it is divible by the number of its divisors (280).

It is not an unprimeable number, because it can be changed into a prime (77438204489) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9984284 + ... + 9992036.

Almost surely, 2^77438204480 is an apocalyptic number.

77438204480 is a gapful number since it is divisible by the number (70) 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 77438204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115848900636).

77438204480 is an abundant number, since it is smaller than the sum of its proper divisors (154259596792).

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

77438204480 is an equidigital number, since it uses as much as digits as its factorization.

77438204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7811 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 47.

The spelling of 77438204480 in words is "seventy-seven billion, four hundred thirty-eight million, two hundred four thousand, four hundred eighty".