77678000131200 has 288 divisors, whose sum is σ = 297623655621360. Its totient is φ = 17754971351040.

The previous prime is 77678000131183. The next prime is 77678000131231. The reversal of 77678000131200 is 213100087677.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82095502 + ... + 83036301.

Almost surely, 2^{77678000131200} is an apocalyptic number.

77678000131200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77678000131200 is an abundant number, since it is smaller than the sum of its proper divisors (219945655490160).

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

77678000131200 is a wasteful number, since it uses less digits than its factorization.

77678000131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165131844 (or 165131820 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 77678000131200 in words is "seventy-seven trillion, six hundred seventy-eight billion, one hundred thirty-one thousand, two hundred".