772832040 has 64 divisors (see below), whose sum is σ = 2325620160. Its totient is φ = 205455360.

The previous prime is 772832033. The next prime is 772832057. The reversal of 772832040 is 40238277.

It is a junction number, because it is equal to n+sod(n) for n = 772831992 and 772832010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29992 + ... + 49448.

It is an arithmetic number, because the mean of its divisors is an integer number (36337815).

Almost surely, 2^772832040 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 772832040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162810080).

772832040 is an abundant number, since it is smaller than the sum of its proper divisors (1552788120).

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

772832040 is a wasteful number, since it uses less digits than its factorization.

772832040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19802 (or 19798 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 772832040 is about 27799.8568341637. The cubic root of 772832040 is about 917.6879721384.

The spelling of 772832040 in words is "seven hundred seventy-two million, eight hundred thirty-two thousand, forty".