772071832 has 48 divisors (see below), whose sum is σ = 1686908160. Its totient is φ = 330313536.

The previous prime is 772071823. The next prime is 772071863. The reversal of 772071832 is 238170277.

It is a junction number, because it is equal to n+sod(n) for n = 772071791 and 772071800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285993 + ... + 288679.

It is an arithmetic number, because the mean of its divisors is an integer number (35143920).

Almost surely, 2^772071832 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 772071832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843454080).

772071832 is an abundant number, since it is smaller than the sum of its proper divisors (914836328).

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

772071832 is a wasteful number, since it uses less digits than its factorization.

772071832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 772071832 is about 27786.1805939571. The cubic root of 772071832 is about 917.3869741756.

The spelling of 772071832 in words is "seven hundred seventy-two million, seventy-one thousand, eight hundred thirty-two".