774012848400 has 1215 divisors, whose sum is σ = 3123332666181. Its totient is φ = 177363648000.

The previous prime is 774012848393. The next prime is 774012848423. The reversal of 774012848400 is 4848210477.

The square root of 774012848400 is 879780.

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

774012848400 is a `hidden beast` number, since 7 + 7 + 40 + 128 + 484 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 278644625424 + 495368222976 = 527868^2 + 703824^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 18000298779 + ... + 18000298821.

Almost surely, 2^774012848400 is an apocalyptic number.

774012848400 is the 879780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 774012848400

774012848400 is an abundant number, since it is smaller than the sum of its proper divisors (2349319817781).

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

774012848400 is a wasteful number, since it uses less digits than its factorization.

774012848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 774012848400 in words is "seven hundred seventy-four billion, twelve million, eight hundred forty-eight thousand, four hundred".