765421920 has 192 divisors, whose sum is σ = 2697891840. Its totient is φ = 202673664.

The previous prime is 765421903. The next prime is 765422029. The reversal of 765421920 is 29124567.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 703617 + ... + 704703.

It is an arithmetic number, because the mean of its divisors is an integer number (14051520).

Almost surely, 2^765421920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348945920).

765421920 is an abundant number, since it is smaller than the sum of its proper divisors (1932469920).

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

765421920 is a wasteful number, since it uses less digits than its factorization.

765421920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 765421920 is about 27666.2595953989. The cubic root of 765421920 is about 914.7455352589.

The spelling of 765421920 in words is "seven hundred sixty-five million, four hundred twenty-one thousand, nine hundred twenty".