772364970 has 160 divisors (see below), whose sum is σ = 2292388560. Its totient is φ = 185379840.

The previous prime is 772364951. The next prime is 772364993. The reversal of 772364970 is 79463277.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 184932801 + 587432169 = 13599^2 + 24237^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430836 + ... + 432624.

Almost surely, 2^772364970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772364970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146194280).

772364970 is an abundant number, since it is smaller than the sum of its proper divisors (1520023590).

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

772364970 is a wasteful number, since it uses less digits than its factorization.

772364970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 772364970 is about 27791.4549817026. The cubic root of 772364970 is about 917.5030630956.

The spelling of 772364970 in words is "seven hundred seventy-two million, three hundred sixty-four thousand, nine hundred seventy".