772977216 has 112 divisors (see below), whose sum is σ = 2362443840. Its totient is φ = 220446720.

The previous prime is 772977211. The next prime is 772977221. The reversal of 772977216 is 612779277.

It is an interprime number because it is at equal distance from previous prime (772977211) and next prime (772977221).

It is a super-2 number, since 2×772977216² = 1194987552910221312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (772977211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25140 + ... + 46668.

Almost surely, 2^772977216 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 772977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181221920).

772977216 is an abundant number, since it is smaller than the sum of its proper divisors (1589466624).

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

772977216 is a wasteful number, since it uses less digits than its factorization.

772977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21572 (or 21562 counting only the distinct ones).

The product of its digits is 518616, while the sum is 48.

The square root of 772977216 is about 27802.4678041357. The cubic root of 772977216 is about 917.7454309052.

The spelling of 772977216 in words is "seven hundred seventy-two million, nine hundred seventy-seven thousand, two hundred sixteen".