77861007840000 has 2160 divisors, whose sum is σ = 330168278030976. Its totient is φ = 16102195200000.

The previous prime is 77861007839977. The next prime is 77861007840013. The reversal of 77861007840000 is 4870016877.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 66491039415 + ... + 66491040585.

Almost surely, 2^{77861007840000} is an apocalyptic number.

77861007840000 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 77861007840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165084139015488).

77861007840000 is an abundant number, since it is smaller than the sum of its proper divisors (252307270190976).

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

77861007840000 is a wasteful number, since it uses less digits than its factorization.

77861007840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

Adding to 77861007840000 its reverse (4870016877), we get a palindrome (77865877856877).

The spelling of 77861007840000 in words is "seventy-seven trillion, eight hundred sixty-one billion, seven million, eight hundred forty thousand".