77032257120 has 1920 divisors, whose sum is σ = 360634982400. Its totient is φ = 15362887680.

The previous prime is 77032257109. The next prime is 77032257139. The reversal of 77032257120 is 2175223077.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1791447819 + ... + 1791447861.

It is an arithmetic number, because the mean of its divisors is an integer number (187830720).

Almost surely, 2^77032257120 is an apocalyptic number.

77032257120 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 77032257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180317491200).

77032257120 is an abundant number, since it is smaller than the sum of its proper divisors (283602725280).

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

77032257120 is a wasteful number, since it uses less digits than its factorization.

77032257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 77032257120 in words is "seventy-seven billion, thirty-two million, two hundred fifty-seven thousand, one hundred twenty".