778082768100 has 585 divisors, whose sum is σ = 2785906305385. Its totient is φ = 188626125600.

The previous prime is 778082768053. The next prime is 778082768101. The reversal of 778082768100 is 1867280877.

The square root of 778082768100 is 882090.

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

It can be written as a sum of positive squares in only one way, i.e., 280109796516 + 497972971584 = 529254^2 + 705672^2 .

It is a super-2 number, since 2×778082768100² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (778082768101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 194 ways as a sum of consecutive naturals, for example, 70734797095 + ... + 70734797105.

Almost surely, 2^778082768100 is an apocalyptic number.

778082768100 is the 882090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 778082768100

778082768100 is an abundant number, since it is smaller than the sum of its proper divisors (2007823537285).

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

778082768100 is an frugal number, since it uses more digits than its factorization.

778082768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 778082768100 in words is "seven hundred seventy-eight billion, eighty-two million, seven hundred sixty-eight thousand, one hundred".