772711632 has 240 divisors, whose sum is σ = 2716826112. Its totient is φ = 199169280.

The previous prime is 772711619. The next prime is 772711637. The reversal of 772711632 is 236117277.

772711632 is a `hidden beast` number, since 7 + 7 + 2 + 7 + 11 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772711637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2516823 + ... + 2517129.

Almost surely, 2^772711632 is an apocalyptic number.

772711632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772711632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358413056).

772711632 is an abundant number, since it is smaller than the sum of its proper divisors (1944114480).

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

772711632 is a wasteful number, since it uses less digits than its factorization.

772711632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 772711632 is about 27797.6911271422. The cubic root of 772711632 is about 917.6403107637.

Adding to 772711632 its product of digits (24696), we get a triangular number (772736328 = T₃₉₃₁₂).

The spelling of 772711632 in words is "seven hundred seventy-two million, seven hundred eleven thousand, six hundred thirty-two".