772340820 has 96 divisors (see below), whose sum is σ = 2239405056. Its totient is φ = 198681600.

The previous prime is 772340783. The next prime is 772340827. The reversal of 772340820 is 28043277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772340827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968662 + ... + 969458.

It is an arithmetic number, because the mean of its divisors is an integer number (23327136).

Almost surely, 2^772340820 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 772340820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119702528).

772340820 is an abundant number, since it is smaller than the sum of its proper divisors (1467064236).

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

772340820 is a wasteful number, since it uses less digits than its factorization.

772340820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1359 counting only the distinct ones).

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

The square root of 772340820 is about 27791.0204922381. The cubic root of 772340820 is about 917.4935002893.

The spelling of 772340820 in words is "seven hundred seventy-two million, three hundred forty thousand, eight hundred twenty".