77478826752 has 288 divisors, whose sum is σ = 237692672000. Its totient is φ = 24868270080.

The previous prime is 77478826739. The next prime is 77478826771. The reversal of 77478826752 is 25762887477.

It is a happy number.

77478826752 is a `hidden beast` number, since 77 + 478 + 8 + 26 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 77478826752.

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, 49067499 + ... + 49069077.

Almost surely, 2^77478826752 is an apocalyptic number.

77478826752 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 77478826752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118846336000).

77478826752 is an abundant number, since it is smaller than the sum of its proper divisors (160213845248).

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

77478826752 is a wasteful number, since it uses less digits than its factorization.

77478826752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1844 counting only the distinct ones).

The product of its digits is 73758720, while the sum is 63.

The spelling of 77478826752 in words is "seventy-seven billion, four hundred seventy-eight million, eight hundred twenty-six thousand, seven hundred fifty-two".