771364900 has 72 divisors (see below), whose sum is σ = 1731000320. Its totient is φ = 298131840.

The previous prime is 771364883. The next prime is 771364901. The reversal of 771364900 is 9463177.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 771364900.

It is not an unprimeable number, because it can be changed into a prime (771364901) 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, 602461 + ... + 603739.

Almost surely, 2^771364900 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 771364900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865500160).

771364900 is an abundant number, since it is smaller than the sum of its proper divisors (959635420).

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

771364900 is a wasteful number, since it uses less digits than its factorization.

771364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 771364900 is about 27773.4567528063. The cubic root of 771364900 is about 917.1068930483.

The spelling of 771364900 in words is "seven hundred seventy-one million, three hundred sixty-four thousand, nine hundred".