77205381120 has 448 divisors, whose sum is σ = 313735760640. Its totient is φ = 17645174784.

The previous prime is 77205381091. The next prime is 77205381131. The reversal of 77205381120 is 2118350277.

77205381120 is a `hidden beast` number, since 7 + 7 + 2 + 0 + 538 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7736454 + ... + 7746426.

Almost surely, 2^77205381120 is an apocalyptic number.

77205381120 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 77205381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156867880320).

77205381120 is an abundant number, since it is smaller than the sum of its proper divisors (236530379520).

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

77205381120 is an equidigital number, since it uses as much as digits as its factorization.

77205381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 77205381120 in words is "seventy-seven billion, two hundred five million, three hundred eighty-one thousand, one hundred twenty".