771948 has 36 divisors (see below), whose sum is σ = 2002728. Its totient is φ = 250560.

The previous prime is 771941. The next prime is 771961. The reversal of 771948 is 849177.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (771941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1215 + ... + 1737.

2⁷⁷¹⁹⁴⁸ 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 771948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001364).

771948 is an abundant number, since it is smaller than the sum of its proper divisors (1230780).

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

771948 is a wasteful number, since it uses less digits than its factorization.

771948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 569 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 771948 is about 878.6057136168. The cubic root of 771948 is about 91.7337925226.

It can be divided in two parts, 77 and 1948, that added together give a square (2025 = 45²).

The spelling of 771948 in words is "seven hundred seventy-one thousand, nine hundred forty-eight".