771628032 has 264 divisors, whose sum is σ = 2646623616. Its totient is φ = 219967488.

The previous prime is 771628021. The next prime is 771628043. The reversal of 771628032 is 230826177.

It is an interprime number because it is at equal distance from previous prime (771628021) and next prime (771628043).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741603 + ... + 1742045.

Almost surely, 2^771628032 is an apocalyptic number.

771628032 is a gapful number since it is divisible by the number (72) 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 771628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323311808).

771628032 is an abundant number, since it is smaller than the sum of its proper divisors (1874995584).

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

771628032 is an equidigital number, since it uses as much as digits as its factorization.

771628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 771628032 is about 27778.1934617786. The cubic root of 771628032 is about 917.2111639479.

The spelling of 771628032 in words is "seven hundred seventy-one million, six hundred twenty-eight thousand, thirty-two".