766260432 has 240 divisors, whose sum is σ = 2610636480. Its totient is φ = 214486272.

The previous prime is 766260409. The next prime is 766260461. The reversal of 766260432 is 234062667.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121563 + ... + 1122245.

It is an arithmetic number, because the mean of its divisors is an integer number (10877652).

Almost surely, 2^766260432 is an apocalyptic number.

766260432 is a gapful number since it is divisible by the number (72) 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 766260432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305318240).

766260432 is an abundant number, since it is smaller than the sum of its proper divisors (1844376048).

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

766260432 is a wasteful number, since it uses less digits than its factorization.

766260432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 766260432 is about 27681.4095016854. The cubic root of 766260432 is about 915.0794448623.

The spelling of 766260432 in words is "seven hundred sixty-six million, two hundred sixty thousand, four hundred thirty-two".