768743168400 has 225 divisors, whose sum is σ = 2759524063153. Its totient is φ = 204956092800.

The previous prime is 768743168387. The next prime is 768743168419. The reversal of 768743168400 is 4861347867.

The square root of 768743168400 is 876780.

It is a perfect power (a square), and thus also a powerful number.

768743168400 is a `hidden beast` number, since 7 + 6 + 8 + 74 + 3 + 168 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 276747540624 + 491995627776 = 526068^2 + 701424^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 157817965 + ... + 157822835.

Almost surely, 2^768743168400 is an apocalyptic number.

768743168400 is the 876780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768743168400

768743168400 is an abundant number, since it is smaller than the sum of its proper divisors (1990780894753).

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

768743168400 is an frugal number, since it uses more digits than its factorization.

768743168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 768743168400 in words is "seven hundred sixty-eight billion, seven hundred forty-three million, one hundred sixty-eight thousand, four hundred".