77038428672 has 200 divisors, whose sum is σ = 230335901532. Its totient is φ = 25635225600.

The previous prime is 77038428653. The next prime is 77038428683. The reversal of 77038428672 is 27682483077.

It can be written as a sum of positive squares in 2 ways, for example, as 52356761856 + 24681666816 = 228816^2 + 157104^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31558972 + ... + 31561412.

Almost surely, 2^77038428672 is an apocalyptic number.

77038428672 is a gapful number since it is divisible by the number (72) 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 77038428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115167950766).

77038428672 is an abundant number, since it is smaller than the sum of its proper divisors (153297472860).

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

77038428672 is an equidigital number, since it uses as much as digits as its factorization.

77038428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 77038428672 in words is "seventy-seven billion, thirty-eight million, four hundred twenty-eight thousand, six hundred seventy-two".