764960144400 has 675 divisors, whose sum is σ = 2835805096839. Its totient is φ = 197482199040.

The previous prime is 764960144383. The next prime is 764960144419. The reversal of 764960144400 is 4441069467.

The square root of 764960144400 is 874620.

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

764960144400 is a `hidden beast` number, since 7 + 6 + 49 + 60 + 144 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 389181336336 + 375778808064 = 623844^2 + 613008^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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 134 ways as a sum of consecutive naturals, for example, 6769558744 + ... + 6769558856.

Almost surely, 2^764960144400 is an apocalyptic number.

764960144400 is the 874620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764960144400

764960144400 is an abundant number, since it is smaller than the sum of its proper divisors (2070844952439).

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

764960144400 is a wasteful number, since it uses less digits than its factorization.

764960144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 764960144400 in words is "seven hundred sixty-four billion, nine hundred sixty million, one hundred forty-four thousand, four hundred".