772400034 has 72 divisors (see below), whose sum is σ = 1979892720. Its totient is φ = 216930672.

The previous prime is 772400033. The next prime is 772400063. The reversal of 772400034 is 430004277.

It is a junction number, because it is equal to n+sod(n) for n = 772399980 and 772400007.

It is not an unprimeable number, because it can be changed into a prime (772400033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44617 + ... + 59459.

It is an arithmetic number, because the mean of its divisors is an integer number (27498510).

Almost surely, 2^772400034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772400034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989946360).

772400034 is an abundant number, since it is smaller than the sum of its proper divisors (1207492686).

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

772400034 is a wasteful number, since it uses less digits than its factorization.

772400034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14924 (or 14914 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 772400034 is about 27792.0858159297. The cubic root of 772400034 is about 917.5169472229.

The spelling of 772400034 in words is "seven hundred seventy-two million, four hundred thousand, thirty-four".