772233924 has 288 divisors, whose sum is σ = 2482099200. Its totient is φ = 184208640.

The previous prime is 772233907. The next prime is 772233941. The reversal of 772233924 is 429332277.

It is an interprime number because it is at equal distance from previous prime (772233907) and next prime (772233941).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4314067 + ... + 4314245.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2^772233924 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 772233924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241049600).

772233924 is an abundant number, since it is smaller than the sum of its proper divisors (1709865276).

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

772233924 is a wasteful number, since it uses less digits than its factorization.

772233924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 772233924 is about 27789.0972145552. The cubic root of 772233924 is about 917.4511697068.

The spelling of 772233924 in words is "seven hundred seventy-two million, two hundred thirty-three thousand, nine hundred twenty-four".