772240896 has 240 divisors, whose sum is σ = 2585325600. Its totient is φ = 217350144.

The previous prime is 772240891. The next prime is 772240901. The reversal of 772240896 is 698042277.

It is an interprime number because it is at equal distance from previous prime (772240891) and next prime (772240901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772240891) 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, 2870650 + ... + 2870918.

It is an arithmetic number, because the mean of its divisors is an integer number (10772190).

Almost surely, 2^772240896 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 772240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292662800).

772240896 is an abundant number, since it is smaller than the sum of its proper divisors (1813084704).

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

772240896 is a wasteful number, since it uses less digits than its factorization.

772240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 772240896 is about 27789.2226591533. Note that the first 3 decimals coincide. The cubic root of 772240896 is about 917.4539307227.

The spelling of 772240896 in words is "seven hundred seventy-two million, two hundred forty thousand, eight hundred ninety-six".