777900872 has 96 divisors (see below), whose sum is σ = 1799091000. Its totient is φ = 313850880.

The previous prime is 777900859. The next prime is 777900881. The reversal of 777900872 is 278009777.

It can be written as a sum of positive squares in 4 ways, for example, as 496131076 + 281769796 = 22274^2 + 16786^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465254 + ... + 466922.

Almost surely, 2^777900872 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 777900872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899545500).

777900872 is an abundant number, since it is smaller than the sum of its proper divisors (1021190128).

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

777900872 is a wasteful number, since it uses less digits than its factorization.

777900872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 47.

The square root of 777900872 is about 27890.8743498658. The cubic root of 777900872 is about 919.6899049429.

The spelling of 777900872 in words is "seven hundred seventy-seven million, nine hundred thousand, eight hundred seventy-two".