77909852160 has 1152 divisors, whose sum is σ = 344267159040. Its totient is φ = 16307453952.

The previous prime is 77909852101. The next prime is 77909852179. The reversal of 77909852160 is 6125890977.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77909852097 and 77909852106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2105671662 + ... + 2105671698.

It is an arithmetic number, because the mean of its divisors is an integer number (298843020).

Almost surely, 2^77909852160 is an apocalyptic number.

77909852160 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 77909852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172133579520).

77909852160 is an abundant number, since it is smaller than the sum of its proper divisors (266357306880).

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

77909852160 is an equidigital number, since it uses as much as digits as its factorization.

77909852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 77909852160 in words is "seventy-seven billion, nine hundred nine million, eight hundred fifty-two thousand, one hundred sixty".