776001600 has 672 divisors, whose sum is σ = 3265505280. Its totient is φ = 177408000.

The previous prime is 776001599. The next prime is 776001613. The reversal of 776001600 is 6100677.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10929565 + ... + 10929635.

Almost surely, 2^776001600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 776001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632752640).

776001600 is an abundant number, since it is smaller than the sum of its proper divisors (2489503680).

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

776001600 is a wasteful number, since it uses less digits than its factorization.

776001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 776001600 is about 27856.8052726798. The cubic root of 776001600 is about 918.9408100150.

The spelling of 776001600 in words is "seven hundred seventy-six million, one thousand, six hundred".