77979052125 has 192 divisors, whose sum is σ = 154543334400. Its totient is φ = 37597824000.

The previous prime is 77979052121. The next prime is 77979052171. The reversal of 77979052125 is 52125097977.

It is a happy number.

77979052125 is a `hidden beast` number, since 7 + 7 + 9 + 7 + 90 + 521 + 25 = 666.

It is not a de Polignac number, because 77979052125 - 2² = 77979052121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77979052121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180925660 + ... + 180926090.

It is an arithmetic number, because the mean of its divisors is an integer number (804913200).

Almost surely, 2^77979052125 is an apocalyptic number.

77979052125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77979052125 is a deficient number, since it is larger than the sum of its proper divisors (76564282275).

77979052125 is a wasteful number, since it uses less digits than its factorization.

77979052125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 77979052125 in words is "seventy-seven billion, nine hundred seventy-nine million, fifty-two thousand, one hundred twenty-five".