77427620121600 has 2376 divisors, whose sum is σ = 328407929777408. Its totient is φ = 17071733145600.

The previous prime is 77427620121589. The next prime is 77427620121667. The reversal of 77427620121600 is 612102672477.

77427620121600 is a `hidden beast` number, since 7 + 7 + 4 + 2 + 7 + 6 + 20 + 12 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 366955545495 + ... + 366955545705.

Almost surely, 2^{77427620121600} is an apocalyptic number.

77427620121600 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 77427620121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164203964888704).

77427620121600 is an abundant number, since it is smaller than the sum of its proper divisors (250980309655808).

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

77427620121600 is a wasteful number, since it uses less digits than its factorization.

77427620121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 77427620121600 in words is "seventy-seven trillion, four hundred twenty-seven billion, six hundred twenty million, one hundred twenty-one thousand, six hundred".