77790129600 has 336 divisors, whose sum is σ = 259607669760. Its totient is φ = 20390092800.

The previous prime is 77790129587. The next prime is 77790129611. The reversal of 77790129600 is 692109777.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 77790129600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90138769 + ... + 90139631.

Almost surely, 2^77790129600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77790129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129803834880).

77790129600 is an abundant number, since it is smaller than the sum of its proper divisors (181817540160).

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

77790129600 is a wasteful number, since it uses less digits than its factorization.

77790129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 48.

The spelling of 77790129600 in words is "seventy-seven billion, seven hundred ninety million, one hundred twenty-nine thousand, six hundred".