772024820 has 48 divisors (see below), whose sum is σ = 1892298240. Its totient is φ = 259060224.

The previous prime is 772024817. The next prime is 772024823. The reversal of 772024820 is 28420277.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (772024817) and next prime (772024823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772024823) by changing a digit.

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, 52085 + ... + 65244.

It is an arithmetic number, because the mean of its divisors is an integer number (39422880).

Almost surely, 2^772024820 is an apocalyptic number.

772024820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

772024820 is an abundant number, since it is smaller than the sum of its proper divisors (1120273420).

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

772024820 is a wasteful number, since it uses less digits than its factorization.

772024820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117392 (or 117390 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 772024820 is about 27785.3346209831. The cubic root of 772024820 is about 917.3683536837.

The spelling of 772024820 in words is "seven hundred seventy-two million, twenty-four thousand, eight hundred twenty".