772951872 has 336 divisors, whose sum is σ = 2648508800. Its totient is φ = 198696960.

The previous prime is 772951871. The next prime is 772951913. The reversal of 772951872 is 278159277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (493920) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772951871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7968528 + ... + 7968624.

Almost surely, 2^772951872 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 772951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324254400).

772951872 is an abundant number, since it is smaller than the sum of its proper divisors (1875556928).

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

772951872 is a wasteful number, since it uses less digits than its factorization.

772951872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its digits is 493920, while the sum is 48.

The square root of 772951872 is about 27802.0120135216. The cubic root of 772951872 is about 917.7354005990.

The spelling of 772951872 in words is "seven hundred seventy-two million, nine hundred fifty-one thousand, eight hundred seventy-two".