772079616 has 408 divisors, whose sum is σ = 2944378944. Its totient is φ = 188743680.

The previous prime is 772079597. The next prime is 772079639. The reversal of 772079616 is 616970277.

772079616 is a `hidden beast` number, since 7 + 7 + 20 + 7 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (408).

It is a super-2 number, since 2×772079616² = 1192213866885414912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45416440 + ... + 45416456.

Almost surely, 2^772079616 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 772079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472189472).

772079616 is an abundant number, since it is smaller than the sum of its proper divisors (2172299328).

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

772079616 is a wasteful number, since it uses less digits than its factorization.

772079616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 772079616 is about 27786.3206632328. The cubic root of 772079616 is about 917.3900571858.

The spelling of 772079616 in words is "seven hundred seventy-two million, seventy-nine thousand, six hundred sixteen".