767379480 has 128 divisors (see below), whose sum is σ = 2636928000. Its totient is φ = 175007232.

The previous prime is 767379413. The next prime is 767379491. The reversal of 767379480 is 84973767.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547821 + ... + 549219.

It is an arithmetic number, because the mean of its divisors is an integer number (20601000).

Almost surely, 2^767379480 is an apocalyptic number.

767379480 is a gapful number since it is divisible by the number (70) 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 767379480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318464000).

767379480 is an abundant number, since it is smaller than the sum of its proper divisors (1869548520).

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

767379480 is a wasteful number, since it uses less digits than its factorization.

767379480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 767379480 is about 27701.6151153683. The cubic root of 767379480 is about 915.5246893647.

It can be divided in two parts, 7673 and 79480, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 767379480 in words is "seven hundred sixty-seven million, three hundred seventy-nine thousand, four hundred eighty".