772088620 has 72 divisors (see below), whose sum is σ = 1686306384. Its totient is φ = 296918784.

The previous prime is 772088593. The next prime is 772088621. The reversal of 772088620 is 26880277.

It is a super-2 number, since 2×772088620² = 1192241674267008800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (772088621) 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, 4462854 + ... + 4463026.

It is an arithmetic number, because the mean of its divisors is an integer number (23420922).

Almost surely, 2^772088620 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 772088620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843153192).

772088620 is an abundant number, since it is smaller than the sum of its proper divisors (914217764).

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

772088620 is a wasteful number, since it uses less digits than its factorization.

772088620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 772088620 is about 27786.4826849315. The cubic root of 772088620 is about 917.3936233759.

The spelling of 772088620 in words is "seven hundred seventy-two million, eighty-eight thousand, six hundred twenty".