77893125120 has 616 divisors, whose sum is σ = 287546920920. Its totient is φ = 20225064960.

The previous prime is 77893125073. The next prime is 77893125127. The reversal of 77893125120 is 2152139877.

It can be written as a sum of positive squares in 4 ways, for example, as 3351020544 + 74542104576 = 57888^2 + 273024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (77893125127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 153031426 + ... + 153031934.

Almost surely, 2^77893125120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77893125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143773460460).

77893125120 is an abundant number, since it is smaller than the sum of its proper divisors (209653795800).

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

77893125120 is an equidigital number, since it uses as much as digits as its factorization.

77893125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 77893125120 in words is "seventy-seven billion, eight hundred ninety-three million, one hundred twenty-five thousand, one hundred twenty".