765972480 has 416 divisors, whose sum is σ = 3038402304. Its totient is φ = 160432128.

The previous prime is 765972463. The next prime is 765972481. The reversal of 765972480 is 84279567.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765972481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5590972 + ... + 5591108.

Almost surely, 2^765972480 is an apocalyptic number.

765972480 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 765972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519201152).

765972480 is an abundant number, since it is smaller than the sum of its proper divisors (2272429824).

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

765972480 is a wasteful number, since it uses less digits than its factorization.

765972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 765972480 is about 27676.2078327216. The cubic root of 765972480 is about 914.9648050006.

The spelling of 765972480 in words is "seven hundred sixty-five million, nine hundred seventy-two thousand, four hundred eighty".