772999920 has 480 divisors, whose sum is σ = 3298074624. Its totient is φ = 157593600.

The previous prime is 772999919. The next prime is 772999943. The reversal of 772999920 is 29999277.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4047025 + ... + 4047215.

Almost surely, 2^772999920 is an apocalyptic number.

772999920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649037312).

772999920 is an abundant number, since it is smaller than the sum of its proper divisors (2525074704).

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

772999920 is a wasteful number, since it uses less digits than its factorization.

772999920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 772999920 is about 27802.8761102156. The cubic root of 772999920 is about 917.7544162016.

It can be divided in two parts, 7 and 72999920, that added together give a palindrome (72999927).

The spelling of 772999920 in words is "seven hundred seventy-two million, nine hundred ninety-nine thousand, nine hundred twenty".