766707480 has 384 divisors, whose sum is σ = 3291425280. Its totient is φ = 149852160.

The previous prime is 766707479. The next prime is 766707517. The reversal of 766707480 is 84707667.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470427 + ... + 472053.

It is an arithmetic number, because the mean of its divisors is an integer number (8571420).

Almost surely, 2^766707480 is an apocalyptic number.

766707480 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 766707480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645712640).

766707480 is an abundant number, since it is smaller than the sum of its proper divisors (2524717800).

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

766707480 is a wasteful number, since it uses less digits than its factorization.

766707480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 766707480 is about 27689.4832021112. The cubic root of 766707480 is about 915.2573673583.

The spelling of 766707480 in words is "seven hundred sixty-six million, seven hundred seven thousand, four hundred eighty".