772076880 has 160 divisors (see below), whose sum is σ = 2775179520. Its totient is φ = 196922880.

The previous prime is 772076827. The next prime is 772076881. The reversal of 772076880 is 88670277.

It is a super-2 number, since 2×772076880² = 1192205417261068800, which contains 22 as substring.

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 (772076881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41910 + ... + 57450.

It is an arithmetic number, because the mean of its divisors is an integer number (17344872).

Almost surely, 2^772076880 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 772076880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387589760).

772076880 is an abundant number, since it is smaller than the sum of its proper divisors (2003102640).

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

772076880 is a wasteful number, since it uses less digits than its factorization.

772076880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15586 (or 15574 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 772076880 is about 27786.2714303305. The cubic root of 772076880 is about 917.3889735402.

The spelling of 772076880 in words is "seven hundred seventy-two million, seventy-six thousand, eight hundred eighty".