77028435792 has 480 divisors, whose sum is σ = 277327964160. Its totient is φ = 19375303680.

The previous prime is 77028435779. The next prime is 77028435797. The reversal of 77028435792 is 29753482077.

77028435792 is a `hidden beast` number, since 7 + 7 + 0 + 28 + 43 + 579 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77028435797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147281643 + ... + 147282165.

It is an arithmetic number, because the mean of its divisors is an integer number (577766592).

Almost surely, 2^77028435792 is an apocalyptic number.

77028435792 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 77028435792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138663982080).

77028435792 is an abundant number, since it is smaller than the sum of its proper divisors (200299528368).

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

77028435792 is a wasteful number, since it uses less digits than its factorization.

77028435792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 77028435792 in words is "seventy-seven billion, twenty-eight million, four hundred thirty-five thousand, seven hundred ninety-two".