777672090 has 320 divisors, whose sum is σ = 2488147200. Its totient is φ = 173467008.

The previous prime is 777672083. The next prime is 777672101. The reversal of 777672090 is 90276777.

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 159 ways as a sum of consecutive naturals, for example, 33811819 + ... + 33811841.

It is an arithmetic number, because the mean of its divisors is an integer number (7775460).

Almost surely, 2^777672090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 777672090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244073600).

777672090 is an abundant number, since it is smaller than the sum of its proper divisors (1710475110).

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

777672090 is a wasteful number, since it uses less digits than its factorization.

777672090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 777672090 is about 27886.7726709277. The cubic root of 777672090 is about 919.5997353023.

The spelling of 777672090 in words is "seven hundred seventy-seven million, six hundred seventy-two thousand, ninety".