772741332 has 72 divisors (see below), whose sum is σ = 2148636672. Its totient is φ = 234149520.

The previous prime is 772741331. The next prime is 772741339. The reversal of 772741332 is 233147277.

It is a happy number.

It is a super-2 number, since 2×772741332² = 1194258332362268448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772741331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39853 + ... + 55979.

It is an arithmetic number, because the mean of its divisors is an integer number (29842176).

Almost surely, 2^772741332 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 772741332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074318336).

772741332 is an abundant number, since it is smaller than the sum of its proper divisors (1375895340).

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

772741332 is a wasteful number, since it uses less digits than its factorization.

772741332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16170 (or 16143 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 772741332 is about 27798.2253390392. The cubic root of 772741332 is about 917.6520674428.

It can be divided in two parts, 77274 and 1332, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 772741332 in words is "seven hundred seventy-two million, seven hundred forty-one thousand, three hundred thirty-two".