761265450 has 288 divisors, whose sum is σ = 2378847744. Its totient is φ = 174240000.

The previous prime is 761265437. The next prime is 761265469. The reversal of 761265450 is 54562167.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18567430 + ... + 18567470.

It is an arithmetic number, because the mean of its divisors is an integer number (8259888).

Almost surely, 2^761265450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761265450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189423872).

761265450 is an abundant number, since it is smaller than the sum of its proper divisors (1617582294).

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

761265450 is a wasteful number, since it uses less digits than its factorization.

761265450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 761265450 is about 27591.0393062675. The cubic root of 761265450 is about 913.0867484226.

The spelling of 761265450 in words is "seven hundred sixty-one million, two hundred sixty-five thousand, four hundred fifty".