77238552160 has 192 divisors, whose sum is σ = 237394934784. Its totient is φ = 23027558400.

The previous prime is 77238552151. The next prime is 77238552187. The reversal of 77238552160 is 6125583277.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 77238552160.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 147070 + ... + 419650.

It is an arithmetic number, because the mean of its divisors is an integer number (1236431952).

Almost surely, 2^77238552160 is an apocalyptic number.

77238552160 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 77238552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118697467392).

77238552160 is an abundant number, since it is smaller than the sum of its proper divisors (160156382624).

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

77238552160 is a wasteful number, since it uses less digits than its factorization.

77238552160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272637 (or 272629 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 77238552160 in words is "seventy-seven billion, two hundred thirty-eight million, five hundred fifty-two thousand, one hundred sixty".