77928673440 has 192 divisors, whose sum is σ = 249352774272. Its totient is φ = 20454604800.

The previous prime is 77928673429. The next prime is 77928673463. The reversal of 77928673440 is 4437682977.

It is a super-2 number, since 2×77928673440² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 11191560 + ... + 11198520.

It is an arithmetic number, because the mean of its divisors is an integer number (1298712366).

Almost surely, 2^77928673440 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 77928673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124676387136).

77928673440 is an abundant number, since it is smaller than the sum of its proper divisors (171424100832).

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

77928673440 is a wasteful number, since it uses less digits than its factorization.

77928673440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7343 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 77928673440 in words is "seventy-seven billion, nine hundred twenty-eight million, six hundred seventy-three thousand, four hundred forty".