77393229480 has 192 divisors, whose sum is σ = 287695324800. Its totient is φ = 17675435520.

The previous prime is 77393229281. The next prime is 77393229481. The reversal of 77393229480 is 8492239377.

77393229480 is a `hidden beast` number, since 7 + 73 + 93 + 2 + 2 + 9 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (77393229481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3241426 + ... + 3265214.

It is an arithmetic number, because the mean of its divisors is an integer number (1498413150).

Almost surely, 2^77393229480 is an apocalyptic number.

77393229480 is a gapful number since it is divisible by the number (70) 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 77393229480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143847662400).

77393229480 is an abundant number, since it is smaller than the sum of its proper divisors (210302095320).

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

77393229480 is a wasteful number, since it uses less digits than its factorization.

77393229480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25104 (or 25097 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 77393229480 in words is "seventy-seven billion, three hundred ninety-three million, two hundred twenty-nine thousand, four hundred eighty".