772087806 has 144 divisors (see below), whose sum is σ = 2037512880. Its totient is φ = 210470400.

The previous prime is 772087801. The next prime is 772087807. The reversal of 772087806 is 608780277.

It is a super-2 number, since 2×772087806² = 1192239160347787272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772087801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1925206 + ... + 1925606.

It is an arithmetic number, because the mean of its divisors is an integer number (14149395).

Almost surely, 2^772087806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772087806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018756440).

772087806 is an abundant number, since it is smaller than the sum of its proper divisors (1265425074).

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

772087806 is a wasteful number, since it uses less digits than its factorization.

772087806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 772087806 is about 27786.4680375178. The cubic root of 772087806 is about 917.3933009783.

The spelling of 772087806 in words is "seven hundred seventy-two million, eighty-seven thousand, eight hundred six".