77350570920 has 480 divisors, whose sum is σ = 318360002400. Its totient is φ = 16748944128.

The previous prime is 77350570919. The next prime is 77350570933. The reversal of 77350570920 is 2907505377.

It is a happy number.

77350570920 is a `hidden beast` number, since 7 + 7 + 3 + 50 + 570 + 9 + 20 = 666.

It is a super-2 number, since 2×77350570920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3003619 + ... + 3029261.

It is an arithmetic number, because the mean of its divisors is an integer number (663250005).

Almost surely, 2^77350570920 is an apocalyptic number.

77350570920 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 77350570920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159180001200).

77350570920 is an abundant number, since it is smaller than the sum of its proper divisors (241009431480).

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

77350570920 is a wasteful number, since it uses less digits than its factorization.

77350570920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25699 (or 25679 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The spelling of 77350570920 in words is "seventy-seven billion, three hundred fifty million, five hundred seventy thousand, nine hundred twenty".