7700400304128 has 832 divisors, whose sum is σ = 27022908441600. Its totient is φ = 2121349201920.

The previous prime is 7700400304111. The next prime is 7700400304139. The reversal of 7700400304128 is 8214030040077.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 7700400304092 and 7700400304101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2420746698 + ... + 2420749878.

Almost surely, 2^{7700400304128} 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 7700400304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511454220800).

7700400304128 is an abundant number, since it is smaller than the sum of its proper divisors (19322508137472).

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

7700400304128 is a wasteful number, since it uses less digits than its factorization.

7700400304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 7700400304128 in words is "seven trillion, seven hundred billion, four hundred million, three hundred four thousand, one hundred twenty-eight".