77428427904 has 256 divisors, whose sum is σ = 243270000000. Its totient is φ = 24174526464.

The previous prime is 77428427899. The next prime is 77428428013. The reversal of 77428427904 is 40972482477.

It is a super-2 number, since 2×77428427904² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5837472 + ... + 5850720.

Almost surely, 2^77428427904 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 77428427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121635000000).

77428427904 is an abundant number, since it is smaller than the sum of its proper divisors (165841572096).

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

77428427904 is a wasteful number, since it uses less digits than its factorization.

77428427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13380 (or 13362 counting only the distinct ones).

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

The spelling of 77428427904 in words is "seventy-seven billion, four hundred twenty-eight million, four hundred twenty-seven thousand, nine hundred four".