772561920 has 352 divisors, whose sum is σ = 2748416832. Its totient is φ = 184025088.

The previous prime is 772561913. The next prime is 772561931. The reversal of 772561920 is 29165277.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 10583004 + ... + 10583076.

Almost surely, 2^772561920 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 772561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374208416).

772561920 is an abundant number, since it is smaller than the sum of its proper divisors (1975854912).

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

772561920 is a wasteful number, since it uses less digits than its factorization.

772561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 772561920 is about 27794.9981111710. The cubic root of 772561920 is about 917.5810430136.

The spelling of 772561920 in words is "seven hundred seventy-two million, five hundred sixty-one thousand, nine hundred twenty".