77278225752 has 864 divisors, whose sum is σ = 281967454080. Its totient is φ = 19020718080.

The previous prime is 77278225747. The next prime is 77278225753. The reversal of 77278225752 is 25752287277.

It is a happy number.

77278225752 is a `hidden beast` number, since 77 + 278 + 2 + 257 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77278225753) 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 215 ways as a sum of consecutive naturals, for example, 683878048 + ... + 683878160.

It is an arithmetic number, because the mean of its divisors is an integer number (326351220).

Almost surely, 2^77278225752 is an apocalyptic number.

77278225752 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 77278225752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140983727040).

77278225752 is an abundant number, since it is smaller than the sum of its proper divisors (204689228328).

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

77278225752 is a wasteful number, since it uses less digits than its factorization.

77278225752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 206 counting only the distinct ones).

The product of its digits is 7683200, while the sum is 54.

The spelling of 77278225752 in words is "seventy-seven billion, two hundred seventy-eight million, two hundred twenty-five thousand, seven hundred fifty-two".