772867656 has 120 divisors (see below), whose sum is σ = 2379671910. Its totient is φ = 234178560.

The previous prime is 772867567. The next prime is 772867657. The reversal of 772867656 is 656768277.

It can be written as a sum of positive squares in only one way, i.e., 693479556 + 79388100 = 26334^2 + 8910^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772867657) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 73480 + ... + 83336.

Almost surely, 2^772867656 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 772867656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189835955).

772867656 is an abundant number, since it is smaller than the sum of its proper divisors (1606804254).

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

772867656 is a wasteful number, since it uses less digits than its factorization.

772867656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9897 (or 9873 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 772867656 is about 27800.4974056221. The cubic root of 772867656 is about 917.7020691526.

The spelling of 772867656 in words is "seven hundred seventy-two million, eight hundred sixty-seven thousand, six hundred fifty-six".