77860412000 has 288 divisors, whose sum is σ = 226341591840. Its totient is φ = 26238643200.

The previous prime is 77860411973. The next prime is 77860412033. The reversal of 77860412000 is 21406877.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 11560634 + ... + 11567366.

It is an arithmetic number, because the mean of its divisors is an integer number (785908305).

Almost surely, 2^77860412000 is an apocalyptic number.

77860412000 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 77860412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113170795920).

77860412000 is an abundant number, since it is smaller than the sum of its proper divisors (148481179840).

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

77860412000 is a wasteful number, since it uses less digits than its factorization.

77860412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

Adding to 77860412000 its reverse (21406877), we get a palindrome (77881818877).

The spelling of 77860412000 in words is "seventy-seven billion, eight hundred sixty million, four hundred twelve thousand".