760777920 has 420 divisors, whose sum is σ = 3153308400. Its totient is φ = 173601792.

The previous prime is 760777907. The next prime is 760777921. The reversal of 760777920 is 29777067.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760777921) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269781 + ... + 1270379.

Almost surely, 2^760777920 is an apocalyptic number.

760777920 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 760777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576654200).

760777920 is an abundant number, since it is smaller than the sum of its proper divisors (2392530480).

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

760777920 is a wasteful number, since it uses less digits than its factorization.

760777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 760777920 is about 27582.2029577044. The cubic root of 760777920 is about 912.8917869736.

The spelling of 760777920 in words is "seven hundred sixty million, seven hundred seventy-seven thousand, nine hundred twenty".