77137824120 has 256 divisors, whose sum is σ = 290497536000. Its totient is φ = 15977212416.

The previous prime is 77137824103. The next prime is 77137824131. The reversal of 77137824120 is 2142873177.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 262011 + ... + 472149.

It is an arithmetic number, because the mean of its divisors is an integer number (1134756000).

Almost surely, 2^77137824120 is an apocalyptic number.

77137824120 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 77137824120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145248768000).

77137824120 is an abundant number, since it is smaller than the sum of its proper divisors (213359711880).

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

77137824120 is a wasteful number, since it uses less digits than its factorization.

77137824120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210202 (or 210198 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 77137824120 in words is "seventy-seven billion, one hundred thirty-seven million, eight hundred twenty-four thousand, one hundred twenty".